6x+27=2x-13

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Solution for 6x+27=2x-13 equation:


Simplifying
6x + 27 = 2x + -13

Reorder the terms:
27 + 6x = 2x + -13

Reorder the terms:
27 + 6x = -13 + 2x

Solving
27 + 6x = -13 + 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.
27 + 6x + -2x = -13 + 2x + -2x

Combine like terms: 6x + -2x = 4x
27 + 4x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
27 + 4x = -13 + 0
27 + 4x = -13

Add '-27' to each side of the equation.
27 + -27 + 4x = -13 + -27

Combine like terms: 27 + -27 = 0
0 + 4x = -13 + -27
4x = -13 + -27

Combine like terms: -13 + -27 = -40
4x = -40

Divide each side by '4'.
x = -10

Simplifying
x = -10

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