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

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


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

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

Reorder the terms:
6 + 4 + -3x = 2(x + -1) + -3

Combine like terms: 6 + 4 = 10
10 + -3x = 2(x + -1) + -3

Reorder the terms:
10 + -3x = 2(-1 + x) + -3
10 + -3x = (-1 * 2 + x * 2) + -3
10 + -3x = (-2 + 2x) + -3

Reorder the terms:
10 + -3x = -2 + -3 + 2x

Combine like terms: -2 + -3 = -5
10 + -3x = -5 + 2x

Solving
10 + -3x = -5 + 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.
10 + -3x + -2x = -5 + 2x + -2x

Combine like terms: -3x + -2x = -5x
10 + -5x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -5x = -5 + 0
10 + -5x = -5

Add '-10' to each side of the equation.
10 + -10 + -5x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = -5 + -10
-5x = -5 + -10

Combine like terms: -5 + -10 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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