8x-8=7(2x-6)-2

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Solution for 8x-8=7(2x-6)-2 equation:


Simplifying
8x + -8 = 7(2x + -6) + -2

Reorder the terms:
-8 + 8x = 7(2x + -6) + -2

Reorder the terms:
-8 + 8x = 7(-6 + 2x) + -2
-8 + 8x = (-6 * 7 + 2x * 7) + -2
-8 + 8x = (-42 + 14x) + -2

Reorder the terms:
-8 + 8x = -42 + -2 + 14x

Combine like terms: -42 + -2 = -44
-8 + 8x = -44 + 14x

Solving
-8 + 8x = -44 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-8 + 8x + -14x = -44 + 14x + -14x

Combine like terms: 8x + -14x = -6x
-8 + -6x = -44 + 14x + -14x

Combine like terms: 14x + -14x = 0
-8 + -6x = -44 + 0
-8 + -6x = -44

Add '8' to each side of the equation.
-8 + 8 + -6x = -44 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = -44 + 8
-6x = -44 + 8

Combine like terms: -44 + 8 = -36
-6x = -36

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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