6x+7=2x-9

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Solution for 6x+7=2x-9 equation:


Simplifying
6x + 7 = 2x + -9

Reorder the terms:
7 + 6x = 2x + -9

Reorder the terms:
7 + 6x = -9 + 2x

Solving
7 + 6x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 6x + -2x = -9 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
7 + 4x = -9 + 0
7 + 4x = -9

Add '-7' to each side of the equation.
7 + -7 + 4x = -9 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = -9 + -7
4x = -9 + -7

Combine like terms: -9 + -7 = -16
4x = -16

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

Simplifying
x = -4

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