Solve for x : 8x−5=3x+20 .(1 point)

9 answers

To solve for x, first isolate x on one side of the equation by moving the constants to the other side.

8x - 5 = 3x + 20
Subtract 3x from both sides:
8x - 3x - 5 = 3x - 3x + 20
5x - 5 = 20
Add 5 to both sides:
5x - 5 + 5 = 20 + 5
5x = 25
Divide by 5 to solve for x:
5x/5 = 25/5
x = 5

So, the solution to the equation is x = 5.
Solve for x : 10x+5=7x−16 .(1 point)
To solve for x, first isolate x on one side of the equation by moving the constants to the other side.

10x + 5 = 7x - 16
Subtract 7x from both sides:
10x - 7x + 5 = 7x - 7x - 16
3x + 5 = -16
Subtract 5 from both sides:
3x + 5 - 5 = -16 - 5
3x = -21
Divide by 3 to solve for x:
3x / 3 = -21 / 3
x = -7

So, the solution to the equation is x = -7
Solve for x : 13x+24=3x−26 .(1 point)
To solve for x, first isolate x on one side of the equation by moving the constants to the other side.

13x + 24 = 3x - 26
Subtract 3x from both sides:
13x - 3x + 24 = 3x - 3x - 26
10x + 24 = -26
Subtract 24 from both sides:
10x + 24 - 24 = -26 - 24
10x = -50
Divide by 10 to solve for x:
10x / 10 = -50 / 10
x = -5

So, the solution to the equation is x = -5.
Solve for x : −12x+20=−10x+32 .(1 point)
To solve for x, first isolate x on one side of the equation by moving the constants to the other side.

−12x + 20 = −10x + 32
Add 10x to both sides:
−12x + 10x + 20 = −10x + 10x + 32
−2x + 20 = 32
Subtract 20 from both sides:
−2x + 20 - 20 = 32 - 20
−2x = 12
Divide by -2 to solve for x:
−2x / -2 = 12 / -2
x = -6

So, the solution to the equation is x = -6.
Solve for x : 5x+2=3x−20 .(1 point)
To solve for x, first isolate x on one side of the equation by moving the constants to the other side.

5x + 2 = 3x - 20
Subtract 3x from both sides:
5x - 3x + 2 = 3x - 3x - 20
2x + 2 = -20
Subtract 2 from both sides:
2x + 2 - 2 = -20 - 2
2x = -22
Divide by 2 to solve for x:
2x / 2 = -22 / 2
x = -11

So, the solution to the equation is x = -11.