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

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


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

Reorder the terms:
8 + -2(-6 + x) = 3(-3x + 7) + 8
8 + (-6 * -2 + x * -2) = 3(-3x + 7) + 8
8 + (12 + -2x) = 3(-3x + 7) + 8

Combine like terms: 8 + 12 = 20
20 + -2x = 3(-3x + 7) + 8

Reorder the terms:
20 + -2x = 3(7 + -3x) + 8
20 + -2x = (7 * 3 + -3x * 3) + 8
20 + -2x = (21 + -9x) + 8

Reorder the terms:
20 + -2x = 21 + 8 + -9x

Combine like terms: 21 + 8 = 29
20 + -2x = 29 + -9x

Solving
20 + -2x = 29 + -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.
20 + -2x + 9x = 29 + -9x + 9x

Combine like terms: -2x + 9x = 7x
20 + 7x = 29 + -9x + 9x

Combine like terms: -9x + 9x = 0
20 + 7x = 29 + 0
20 + 7x = 29

Add '-20' to each side of the equation.
20 + -20 + 7x = 29 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = 29 + -20
7x = 29 + -20

Combine like terms: 29 + -20 = 9
7x = 9

Divide each side by '7'.
x = 1.285714286

Simplifying
x = 1.285714286

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