9(x-5)=8(x+15)

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Solution for 9(x-5)=8(x+15) equation:


Simplifying
9(x + -5) = 8(x + 15)

Reorder the terms:
9(-5 + x) = 8(x + 15)
(-5 * 9 + x * 9) = 8(x + 15)
(-45 + 9x) = 8(x + 15)

Reorder the terms:
-45 + 9x = 8(15 + x)
-45 + 9x = (15 * 8 + x * 8)
-45 + 9x = (120 + 8x)

Solving
-45 + 9x = 120 + 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.
-45 + 9x + -8x = 120 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-45 + 1x = 120 + 8x + -8x

Combine like terms: 8x + -8x = 0
-45 + 1x = 120 + 0
-45 + 1x = 120

Add '45' to each side of the equation.
-45 + 45 + 1x = 120 + 45

Combine like terms: -45 + 45 = 0
0 + 1x = 120 + 45
1x = 120 + 45

Combine like terms: 120 + 45 = 165
1x = 165

Divide each side by '1'.
x = 165

Simplifying
x = 165

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