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

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


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

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

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

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

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

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

Combine like terms: 6 + 3 = 9
-6 + 2x = 9 + -3x

Solving
-6 + 2x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-6 + 2x + 3x = 9 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-6 + 5x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 5x = 9 + 0
-6 + 5x = 9

Add '6' to each side of the equation.
-6 + 6 + 5x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 9 + 6
5x = 9 + 6

Combine like terms: 9 + 6 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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