4x+7=5x-12

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Solution for 4x+7=5x-12 equation:


Simplifying
4x + 7 = 5x + -12

Reorder the terms:
7 + 4x = 5x + -12

Reorder the terms:
7 + 4x = -12 + 5x

Solving
7 + 4x = -12 + 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.
7 + 4x + -5x = -12 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
7 + -1x = -12 + 0
7 + -1x = -12

Add '-7' to each side of the equation.
7 + -7 + -1x = -12 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -12 + -7
-1x = -12 + -7

Combine like terms: -12 + -7 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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