To solve the equation 6x + 12 = 4x - 18, we can begin by combining like terms. We subtract 4x from both sides to isolate the x term:
6x + 12 - 4x = 4x - 18 - 4x
2x + 12 = -18
Next, we can subtract 12 from both sides to isolate the x term:
2x + 12 - 12 = -18 - 12
2x = -30
Finally, to find x, we divide both sides by 2:
2x/2 = -30/2
x = -15
Therefore, the solution to the equation is x = -15.
A)
Solve the following equation: 6x + 12 = 4x – 18
(1 point)
–15
15
–3
3
3 answers
A)
Solve the following equation: 1/2(4x – 10) + 5 = x – 11
(1 point)
11
6
–11
–6
Solve the following equation: 1/2(4x – 10) + 5 = x – 11
(1 point)
11
6
–11
–6
To solve the equation 1/2(4x - 10) + 5 = x - 11, we can start by simplifying both sides of the equation.
On the left side, we can distribute the 1/2 to both terms inside the parentheses:
1/2(4x - 10) + 5 = (1/2)(4x) + (1/2)(-10) + 5
= 2x - 5 + 5
= 2x
On the right side, we can simplify x - 11:
x - 11
Now we can set the left and right sides equal to each other:
2x = x - 11
To solve for x, we can subtract x from both sides:
2x - x = x - 11 - x
x = -11
Therefore, the solution to the equation is x = -11.
On the left side, we can distribute the 1/2 to both terms inside the parentheses:
1/2(4x - 10) + 5 = (1/2)(4x) + (1/2)(-10) + 5
= 2x - 5 + 5
= 2x
On the right side, we can simplify x - 11:
x - 11
Now we can set the left and right sides equal to each other:
2x = x - 11
To solve for x, we can subtract x from both sides:
2x - x = x - 11 - x
x = -11
Therefore, the solution to the equation is x = -11.
1 answer