5x+7=x-5

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


Simplifying
5x + 7 = x + -5

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

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

Solving
7 + 5x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + 5x + -1x = -5 + x + -1x

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

Combine like terms: x + -1x = 0
7 + 4x = -5 + 0
7 + 4x = -5

Add '-7' to each side of the equation.
7 + -7 + 4x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = -5 + -7
4x = -5 + -7

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

Divide each side by '4'.
x = -3

Simplifying
x = -3

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