8-2(3x+7)=6-8x

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Solution for 8-2(3x+7)=6-8x equation:


Simplifying
8 + -2(3x + 7) = 6 + -8x

Reorder the terms:
8 + -2(7 + 3x) = 6 + -8x
8 + (7 * -2 + 3x * -2) = 6 + -8x
8 + (-14 + -6x) = 6 + -8x

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

Solving
-6 + -6x = 6 + -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.
-6 + -6x + 8x = 6 + -8x + 8x

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

Combine like terms: -8x + 8x = 0
-6 + 2x = 6 + 0
-6 + 2x = 6

Add '6' to each side of the equation.
-6 + 6 + 2x = 6 + 6

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

Combine like terms: 6 + 6 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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