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

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


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

Reorder the terms:
4(-3 + x) + -2x = -3(-1x + 1)
(-3 * 4 + x * 4) + -2x = -3(-1x + 1)
(-12 + 4x) + -2x = -3(-1x + 1)

Combine like terms: 4x + -2x = 2x
-12 + 2x = -3(-1x + 1)

Reorder the terms:
-12 + 2x = -3(1 + -1x)
-12 + 2x = (1 * -3 + -1x * -3)
-12 + 2x = (-3 + 3x)

Solving
-12 + 2x = -3 + 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.
-12 + 2x + -3x = -3 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-12 + -1x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + -1x = -3 + 0
-12 + -1x = -3

Add '12' to each side of the equation.
-12 + 12 + -1x = -3 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = -3 + 12
-1x = -3 + 12

Combine like terms: -3 + 12 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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