Question

Solve for x.

3(2x - 3) + 4(2 - x) = 0

1/2

17/10

-17/2

Answer 1

Simplifying
3(2x + -3) + 4(2 + -1x) = 0

Reorder the terms:
3(-3 + 2x) + 4(2 + -1x) = 0
(-3 * 3 + 2x * 3) + 4(2 + -1x) = 0
(-9 + 6x) + 4(2 + -1x) = 0
-9 + 6x + (2 * 4 + -1x * 4) = 0
-9 + 6x + (8 + -4x) = 0

Reorder the terms:
-9 + 8 + 6x + -4x = 0

Combine like terms: -9 + 8 = -1
-1 + 6x + -4x = 0

Combine like terms: 6x + -4x = 2x
-1 + 2x = 0

Solving
-1 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 0 + 1
2x = 0 + 1

Combine like terms: 0 + 1 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

Answer 2

thanks again

Answer 3

Therefore your answer is 1/2! :)

Answer 4

Ha, no prob!