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
(8 * 9 + x * 9) + 12 = 8(x + 8) * 10
(72 + 9x) + 12 = 8(x + 8) * 10

Reorder the terms:
72 + 12 + 9x = 8(x + 8) * 10

Combine like terms: 72 + 12 = 84
84 + 9x = 8(x + 8) * 10

Reorder the terms:
84 + 9x = 8(8 + x) * 10

Reorder the terms for easier multiplication:
84 + 9x = 8 * 10(8 + x)

Multiply 8 * 10
84 + 9x = 80(8 + x)
84 + 9x = (8 * 80 + x * 80)
84 + 9x = (640 + 80x)

Solving
84 + 9x = 640 + 80x

Solving for variable 'x'.

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

Add '-80x' to each side of the equation.
84 + 9x + -80x = 640 + 80x + -80x

Combine like terms: 9x + -80x = -71x
84 + -71x = 640 + 80x + -80x

Combine like terms: 80x + -80x = 0
84 + -71x = 640 + 0
84 + -71x = 640

Add '-84' to each side of the equation.
84 + -84 + -71x = 640 + -84

Combine like terms: 84 + -84 = 0
0 + -71x = 640 + -84
-71x = 640 + -84

Combine like terms: 640 + -84 = 556
-71x = 556

Divide each side by '-71'.
x = -7.830985915

Simplifying
x = -7.830985915

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