8(5+x)=9(x-5)

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


Simplifying
8(5 + x) = 9(x + -5)
(5 * 8 + x * 8) = 9(x + -5)
(40 + 8x) = 9(x + -5)

Reorder the terms:
40 + 8x = 9(-5 + x)
40 + 8x = (-5 * 9 + x * 9)
40 + 8x = (-45 + 9x)

Solving
40 + 8x = -45 + 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.
40 + 8x + -9x = -45 + 9x + -9x

Combine like terms: 8x + -9x = -1x
40 + -1x = -45 + 9x + -9x

Combine like terms: 9x + -9x = 0
40 + -1x = -45 + 0
40 + -1x = -45

Add '-40' to each side of the equation.
40 + -40 + -1x = -45 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = -45 + -40
-1x = -45 + -40

Combine like terms: -45 + -40 = -85
-1x = -85

Divide each side by '-1'.
x = 85

Simplifying
x = 85

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