6(x+2)=8x-40

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Solution for 6(x+2)=8x-40 equation:


Simplifying
6(x + 2) = 8x + -40

Reorder the terms:
6(2 + x) = 8x + -40
(2 * 6 + x * 6) = 8x + -40
(12 + 6x) = 8x + -40

Reorder the terms:
12 + 6x = -40 + 8x

Solving
12 + 6x = -40 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
12 + 6x + -8x = -40 + 8x + -8x

Combine like terms: 6x + -8x = -2x
12 + -2x = -40 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -2x = -40 + 0
12 + -2x = -40

Add '-12' to each side of the equation.
12 + -12 + -2x = -40 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -40 + -12
-2x = -40 + -12

Combine like terms: -40 + -12 = -52
-2x = -52

Divide each side by '-2'.
x = 26

Simplifying
x = 26

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