Solve for x

Question

4(3x+2)=32
 

Answer 1

To solve for $x$ in the equation $4(3x+2)=32$, follow these steps:

1. Distribute the $4$ on the left side: $$4\cdot 3x+4\cdot 2=32$$ This simplifies to: $$12x+8=32$$

2. Subtract $8$ from both sides: $$12x+8-8=32-8$$ This simplifies to: $$12x=24$$

3. Divide both sides by $12$: $$x=\frac{24}{12}$$ This simplifies to: $$x=2$$

So, the solution for $x$ is $\boxed{{\displaystyle 2}}$.

Answer 2

Solve for x
. 

−2(3x−15)=60

Answer 3

To solve for $x$ in the equation $-2(3x-15)=60$, follow these steps:

1. Distribute the $-2$ on the left side: $$-2\cdot 3x+(-2)\cdot (-15)=60$$ This simplifies to: $$-6x+30=60$$

2. Subtract $30$ from both sides: $$-6x+30-30=60-30$$ This simplifies to: $$-6x=30$$

3. Divide both sides by $-6$: $$x=\frac{30}{-6}$$ This simplifies to: $$x=-5$$

So, the solution for $x$ is $\boxed{{\displaystyle -5}}$.

Answer 4

Solve for x
. 

​5(2x−8)=−30

Answer 5

To solve for $x$ in the equation $5(2x-8)=-30$, follow these steps:

1. Distribute the $5$ on the left side: $$5\cdot 2x-5\cdot 8=-30$$ This simplifies to: $$10x-40=-30$$

2. Add $40$ to both sides: $$10x-40+40=-30+40$$ This simplifies to: $$10x=10$$

3. Divide both sides by $10$: $$x=\frac{10}{10}$$ This simplifies to: $$x=1$$

So, the solution for $x$ is $\boxed{{\displaystyle 1}}$.

Answer 6

Solve for x . 

−4(2x−11)=12

Answer 7

To solve for $x$ in the equation $-4(2x-11)=12$, follow these steps:

1. Distribute the $-4$ on the left side: $$-4\cdot 2x+(-4)\cdot (-11)=12$$ This simplifies to: $$-8x+44=12$$

2. Subtract $44$ from both sides: $$-8x+44-44=12-44$$ This simplifies to: $$-8x=-32$$

3. Divide both sides by $-8$: $$x=\frac{-32}{-8}$$ This simplifies to: $$x=4$$

So, the solution for $x$ is $\boxed{{\displaystyle 4}}$.

Answer 8

Solve for x . 

−3(−4x−3)=−27

Answer 9

To solve for $x$ in the equation $-3(-4x-3)=-27$, follow these steps:

1. Distribute the $-3$ on the left side: $$-3\cdot (-4x)+(-3)\cdot (-3)=-27$$ This simplifies to: $$12x+9=-27$$

2. Subtract $9$ from both sides: $$12x+9-9=-27-9$$ This simplifies to: $$12x=-36$$

3. Divide both sides by $12$: $$x=\frac{-36}{12}$$ This simplifies to: $$x=-3$$

So, the solution for $x$ is $\boxed{{\displaystyle -3}}$.

Answer 10

Solve for x . 

−3(−4x−3)=−27

Answer 11

To solve for $x$ in the equation $-3(-4x-3)=-27$, we will follow these steps:

1. Distribute the $-3$ on the left side: $$-3\cdot (-4x)-3\cdot 3=-27$$ This expands to: $$12x+9=-27$$

2. Subtract $9$ from both sides: $$12x+9-9=-27-9$$ This simplifies to: $$12x=-36$$

3. Divide both sides by $12$: $$x=\frac{-36}{12}$$ This simplifies to: $$x=-3$$

Thus, the solution for $x$ is $\boxed{{\displaystyle -3}}$.

Answer 12

Solve for x : 2x−4x−3=−27 .(1 point)

Answer 13

To solve for $x$ in the equation $2x-4x-3=-27$, follow these steps:

1. Combine like terms on the left side: $$(2x-4x)-3=-27$$ This simplifies to: $$-2x-3=-27$$

2. Add $3$ to both sides: $$-2x-3+3=-27+3$$ This simplifies to: $$-2x=-24$$

3. Divide both sides by $-2$: $$x=\frac{-24}{-2}$$ This simplifies to: $$x=12$$

So, the solution for $x$ is $\boxed{{\displaystyle 12}}$.

Answer 14

Solve for x : −4(3x+10)−2=54 .(1 point)

Answer 15

To solve for $x$ in the equation $-4(3x+10)-2=54$, follow these steps:

1. Start by distributing the $-4$: $$-4\cdot 3x-4\cdot 10-2=54$$ This simplifies to: $$-12x-40-2=54$$

2. Combine like terms on the left side: $$-12x-42=54$$

3. Now, add $42$ to both sides: $$-12x-42+42=54+42$$ This simplifies to: $$-12x=96$$

4. Divide both sides by $-12$: $$x=\frac{96}{-12}$$ This simplifies to: $$x=-8$$

So, the solution for $x$ is $\boxed{{\displaystyle -8}}$.

Answer 16

Solve for x : 20x−5(6x+15)=−45 .(1 point)

Answer 17

To solve for $x$ in the equation $20x-5(6x+15)=-45$, follow these steps:

1. Distribute the $-5$ on the left side: $$20x-5\cdot 6x-5\cdot 15=-45$$ This simplifies to: $$20x-30x-75=-45$$

2. Combine like terms: $$(20x-30x)-75=-45$$ This simplifies to: $$-10x-75=-45$$

3. Add $75$ to both sides: $$-10x-75+75=-45+75$$ This simplifies to: $$-10x=30$$

4. Divide both sides by $-10$: $$x=\frac{30}{-10}$$ This simplifies to: $$x=-3$$

So, the solution for $x$ is $\boxed{{\displaystyle -3}}$.