9(x+8)*12=8(x+8)+10

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Solution for 9(x+8)*12=8(x+8)+10 equation:


Simplifying
9(x + 8) * 12 = 8(x + 8) + 10

Reorder the terms:
9(8 + x) * 12 = 8(x + 8) + 10

Reorder the terms for easier multiplication:
9 * 12(8 + x) = 8(x + 8) + 10

Multiply 9 * 12
108(8 + x) = 8(x + 8) + 10
(8 * 108 + x * 108) = 8(x + 8) + 10
(864 + 108x) = 8(x + 8) + 10

Reorder the terms:
864 + 108x = 8(8 + x) + 10
864 + 108x = (8 * 8 + x * 8) + 10
864 + 108x = (64 + 8x) + 10

Reorder the terms:
864 + 108x = 64 + 10 + 8x

Combine like terms: 64 + 10 = 74
864 + 108x = 74 + 8x

Solving
864 + 108x = 74 + 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.
864 + 108x + -8x = 74 + 8x + -8x

Combine like terms: 108x + -8x = 100x
864 + 100x = 74 + 8x + -8x

Combine like terms: 8x + -8x = 0
864 + 100x = 74 + 0
864 + 100x = 74

Add '-864' to each side of the equation.
864 + -864 + 100x = 74 + -864

Combine like terms: 864 + -864 = 0
0 + 100x = 74 + -864
100x = 74 + -864

Combine like terms: 74 + -864 = -790
100x = -790

Divide each side by '100'.
x = -7.9

Simplifying
x = -7.9

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