8(x+1)=9(x-6)

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Solution for 8(x+1)=9(x-6) equation: 


Simplifying
8(x + 1) = 9(x + -6)

Reorder the terms:
8(1 + x) = 9(x + -6)
(1 * 8 + x * 8) = 9(x + -6)
(8 + 8x) = 9(x + -6)

Reorder the terms:
8 + 8x = 9(-6 + x)
8 + 8x = (-6 * 9 + x * 9)
8 + 8x = (-54 + 9x)

Solving
8 + 8x = -54 + 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.
8 + 8x + -9x = -54 + 9x + -9x

Combine like terms: 8x + -9x = -1x
8 + -1x = -54 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -1x = -54 + 0
8 + -1x = -54

Add '-8' to each side of the equation.
8 + -8 + -1x = -54 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -54 + -8
-1x = -54 + -8

Combine like terms: -54 + -8 = -62
-1x = -62

Divide each side by '-1'.
x = 62

Simplifying
x = 62

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