5(x+7)=13x-9

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Solution for 5(x+7)=13x-9 equation:


Simplifying
5(x + 7) = 13x + -9

Reorder the terms:
5(7 + x) = 13x + -9
(7 * 5 + x * 5) = 13x + -9
(35 + 5x) = 13x + -9

Reorder the terms:
35 + 5x = -9 + 13x

Solving
35 + 5x = -9 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
35 + 5x + -13x = -9 + 13x + -13x

Combine like terms: 5x + -13x = -8x
35 + -8x = -9 + 13x + -13x

Combine like terms: 13x + -13x = 0
35 + -8x = -9 + 0
35 + -8x = -9

Add '-35' to each side of the equation.
35 + -35 + -8x = -9 + -35

Combine like terms: 35 + -35 = 0
0 + -8x = -9 + -35
-8x = -9 + -35

Combine like terms: -9 + -35 = -44
-8x = -44

Divide each side by '-8'.
x = 5.5

Simplifying
x = 5.5

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