5x-6+x=2(x-7)

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Solution for 5x-6+x=2(x-7) equation:


Simplifying
5x + -6 + x = 2(x + -7)

Reorder the terms:
-6 + 5x + x = 2(x + -7)

Combine like terms: 5x + x = 6x
-6 + 6x = 2(x + -7)

Reorder the terms:
-6 + 6x = 2(-7 + x)
-6 + 6x = (-7 * 2 + x * 2)
-6 + 6x = (-14 + 2x)

Solving
-6 + 6x = -14 + 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.
-6 + 6x + -2x = -14 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-6 + 4x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 4x = -14 + 0
-6 + 4x = -14

Add '6' to each side of the equation.
-6 + 6 + 4x = -14 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = -14 + 6
4x = -14 + 6

Combine like terms: -14 + 6 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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