13(x-9)=5x+15

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Solution for 13(x-9)=5x+15 equation:


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

Reorder the terms:
13(-9 + x) = 5x + 15
(-9 * 13 + x * 13) = 5x + 15
(-117 + 13x) = 5x + 15

Reorder the terms:
-117 + 13x = 15 + 5x

Solving
-117 + 13x = 15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-117 + 13x + -5x = 15 + 5x + -5x

Combine like terms: 13x + -5x = 8x
-117 + 8x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-117 + 8x = 15 + 0
-117 + 8x = 15

Add '117' to each side of the equation.
-117 + 117 + 8x = 15 + 117

Combine like terms: -117 + 117 = 0
0 + 8x = 15 + 117
8x = 15 + 117

Combine like terms: 15 + 117 = 132
8x = 132

Divide each side by '8'.
x = 16.5

Simplifying
x = 16.5

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