6x+7=4x-12

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Solution for 6x+7=4x-12 equation:


Simplifying
6x + 7 = 4x + -12

Reorder the terms:
7 + 6x = 4x + -12

Reorder the terms:
7 + 6x = -12 + 4x

Solving
7 + 6x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + 6x + -4x = -12 + 4x + -4x

Combine like terms: 6x + -4x = 2x
7 + 2x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + 2x = -12 + 0
7 + 2x = -12

Add '-7' to each side of the equation.
7 + -7 + 2x = -12 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = -12 + -7
2x = -12 + -7

Combine like terms: -12 + -7 = -19
2x = -19

Divide each side by '2'.
x = -9.5

Simplifying
x = -9.5

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