3(x-1)+6=-2(x+3)+7x-7

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Solution for 3(x-1)+6=-2(x+3)+7x-7 equation:


Simplifying
3(x + -1) + 6 = -2(x + 3) + 7x + -7

Reorder the terms:
3(-1 + x) + 6 = -2(x + 3) + 7x + -7
(-1 * 3 + x * 3) + 6 = -2(x + 3) + 7x + -7
(-3 + 3x) + 6 = -2(x + 3) + 7x + -7

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

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

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

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

Combine like terms: -6 + -7 = -13
3 + 3x = -13 + -2x + 7x

Combine like terms: -2x + 7x = 5x
3 + 3x = -13 + 5x

Solving
3 + 3x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 3x + -5x = -13 + 5x + -5x

Combine like terms: 3x + -5x = -2x
3 + -2x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -2x = -13 + 0
3 + -2x = -13

Add '-3' to each side of the equation.
3 + -3 + -2x = -13 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -13 + -3
-2x = -13 + -3

Combine like terms: -13 + -3 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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