5-3x+4+6x=3(2x-4)-7x+7

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Solution for 5-3x+4+6x=3(2x-4)-7x+7 equation: 


Simplifying
5 + -3x + 4 + 6x = 3(2x + -4) + -7x + 7

Reorder the terms:
5 + 4 + -3x + 6x = 3(2x + -4) + -7x + 7

Combine like terms: 5 + 4 = 9
9 + -3x + 6x = 3(2x + -4) + -7x + 7

Combine like terms: -3x + 6x = 3x
9 + 3x = 3(2x + -4) + -7x + 7

Reorder the terms:
9 + 3x = 3(-4 + 2x) + -7x + 7
9 + 3x = (-4 * 3 + 2x * 3) + -7x + 7
9 + 3x = (-12 + 6x) + -7x + 7

Reorder the terms:
9 + 3x = -12 + 7 + 6x + -7x

Combine like terms: -12 + 7 = -5
9 + 3x = -5 + 6x + -7x

Combine like terms: 6x + -7x = -1x
9 + 3x = -5 + -1x

Solving
9 + 3x = -5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
9 + 3x + x = -5 + -1x + x

Combine like terms: 3x + x = 4x
9 + 4x = -5 + -1x + x

Combine like terms: -1x + x = 0
9 + 4x = -5 + 0
9 + 4x = -5

Add '-9' to each side of the equation.
9 + -9 + 4x = -5 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = -5 + -9
4x = -5 + -9

Combine like terms: -5 + -9 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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