8x-8=6x-5+3(x-2)

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Solution for 8x-8=6x-5+3(x-2) equation:


Simplifying
8x + -8 = 6x + -5 + 3(x + -2)

Reorder the terms:
-8 + 8x = 6x + -5 + 3(x + -2)

Reorder the terms:
-8 + 8x = 6x + -5 + 3(-2 + x)
-8 + 8x = 6x + -5 + (-2 * 3 + x * 3)
-8 + 8x = 6x + -5 + (-6 + 3x)

Reorder the terms:
-8 + 8x = -5 + -6 + 6x + 3x

Combine like terms: -5 + -6 = -11
-8 + 8x = -11 + 6x + 3x

Combine like terms: 6x + 3x = 9x
-8 + 8x = -11 + 9x

Solving
-8 + 8x = -11 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-8 + 8x + -9x = -11 + 9x + -9x

Combine like terms: 8x + -9x = -1x
-8 + -1x = -11 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + -1x = -11 + 0
-8 + -1x = -11

Add '8' to each side of the equation.
-8 + 8 + -1x = -11 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -11 + 8
-1x = -11 + 8

Combine like terms: -11 + 8 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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