9(4x+2)=7(5x-8)+8

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Solution for 9(4x+2)=7(5x-8)+8 equation:


Simplifying
9(4x + 2) = 7(5x + -8) + 8

Reorder the terms:
9(2 + 4x) = 7(5x + -8) + 8
(2 * 9 + 4x * 9) = 7(5x + -8) + 8
(18 + 36x) = 7(5x + -8) + 8

Reorder the terms:
18 + 36x = 7(-8 + 5x) + 8
18 + 36x = (-8 * 7 + 5x * 7) + 8
18 + 36x = (-56 + 35x) + 8

Reorder the terms:
18 + 36x = -56 + 8 + 35x

Combine like terms: -56 + 8 = -48
18 + 36x = -48 + 35x

Solving
18 + 36x = -48 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
18 + 36x + -35x = -48 + 35x + -35x

Combine like terms: 36x + -35x = 1x
18 + 1x = -48 + 35x + -35x

Combine like terms: 35x + -35x = 0
18 + 1x = -48 + 0
18 + 1x = -48

Add '-18' to each side of the equation.
18 + -18 + 1x = -48 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = -48 + -18
1x = -48 + -18

Combine like terms: -48 + -18 = -66
1x = -66

Divide each side by '1'.
x = -66

Simplifying
x = -66

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