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

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


Simplifying
2(3 + -2x) = 7(x + -6) + 8
(3 * 2 + -2x * 2) = 7(x + -6) + 8
(6 + -4x) = 7(x + -6) + 8

Reorder the terms:
6 + -4x = 7(-6 + x) + 8
6 + -4x = (-6 * 7 + x * 7) + 8
6 + -4x = (-42 + 7x) + 8

Reorder the terms:
6 + -4x = -42 + 8 + 7x

Combine like terms: -42 + 8 = -34
6 + -4x = -34 + 7x

Solving
6 + -4x = -34 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + -4x + -7x = -34 + 7x + -7x

Combine like terms: -4x + -7x = -11x
6 + -11x = -34 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -11x = -34 + 0
6 + -11x = -34

Add '-6' to each side of the equation.
6 + -6 + -11x = -34 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = -34 + -6
-11x = -34 + -6

Combine like terms: -34 + -6 = -40
-11x = -40

Divide each side by '-11'.
x = 3.636363636

Simplifying
x = 3.636363636

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