5x-4x+2=5-4x+7x+7

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Solution for 5x-4x+2=5-4x+7x+7 equation:


Simplifying
5x + -4x + 2 = 5 + -4x + 7x + 7

Reorder the terms:
2 + 5x + -4x = 5 + -4x + 7x + 7

Combine like terms: 5x + -4x = 1x
2 + 1x = 5 + -4x + 7x + 7

Reorder the terms:
2 + 1x = 5 + 7 + -4x + 7x

Combine like terms: 5 + 7 = 12
2 + 1x = 12 + -4x + 7x

Combine like terms: -4x + 7x = 3x
2 + 1x = 12 + 3x

Solving
2 + 1x = 12 + 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.
2 + 1x + -3x = 12 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + -2x = 12 + 0
2 + -2x = 12

Add '-2' to each side of the equation.
2 + -2 + -2x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 12 + -2
-2x = 12 + -2

Combine like terms: 12 + -2 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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