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

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Solution for -3(x-1)+4=2(x+3)-4 equation:


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

Reorder the terms:
-3(-1 + x) + 4 = 2(x + 3) + -4
(-1 * -3 + x * -3) + 4 = 2(x + 3) + -4
(3 + -3x) + 4 = 2(x + 3) + -4

Reorder the terms:
3 + 4 + -3x = 2(x + 3) + -4

Combine like terms: 3 + 4 = 7
7 + -3x = 2(x + 3) + -4

Reorder the terms:
7 + -3x = 2(3 + x) + -4
7 + -3x = (3 * 2 + x * 2) + -4
7 + -3x = (6 + 2x) + -4

Reorder the terms:
7 + -3x = 6 + -4 + 2x

Combine like terms: 6 + -4 = 2
7 + -3x = 2 + 2x

Solving
7 + -3x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + -3x + -2x = 2 + 2x + -2x

Combine like terms: -3x + -2x = -5x
7 + -5x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -5x = 2 + 0
7 + -5x = 2

Add '-7' to each side of the equation.
7 + -7 + -5x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 2 + -7
-5x = 2 + -7

Combine like terms: 2 + -7 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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