5(x+5)=13x-11

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Solution for 5(x+5)=13x-11 equation:


Simplifying
5(x + 5) = 13x + -11

Reorder the terms:
5(5 + x) = 13x + -11
(5 * 5 + x * 5) = 13x + -11
(25 + 5x) = 13x + -11

Reorder the terms:
25 + 5x = -11 + 13x

Solving
25 + 5x = -11 + 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.
25 + 5x + -13x = -11 + 13x + -13x

Combine like terms: 5x + -13x = -8x
25 + -8x = -11 + 13x + -13x

Combine like terms: 13x + -13x = 0
25 + -8x = -11 + 0
25 + -8x = -11

Add '-25' to each side of the equation.
25 + -25 + -8x = -11 + -25

Combine like terms: 25 + -25 = 0
0 + -8x = -11 + -25
-8x = -11 + -25

Combine like terms: -11 + -25 = -36
-8x = -36

Divide each side by '-8'.
x = 4.5

Simplifying
x = 4.5

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