5(x+5)-3(x+1)=13x

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Solution for 5(x+5)-3(x+1)=13x equation:


Simplifying
5(x + 5) + -3(x + 1) = 13x

Reorder the terms:
5(5 + x) + -3(x + 1) = 13x
(5 * 5 + x * 5) + -3(x + 1) = 13x
(25 + 5x) + -3(x + 1) = 13x

Reorder the terms:
25 + 5x + -3(1 + x) = 13x
25 + 5x + (1 * -3 + x * -3) = 13x
25 + 5x + (-3 + -3x) = 13x

Reorder the terms:
25 + -3 + 5x + -3x = 13x

Combine like terms: 25 + -3 = 22
22 + 5x + -3x = 13x

Combine like terms: 5x + -3x = 2x
22 + 2x = 13x

Solving
22 + 2x = 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.
22 + 2x + -13x = 13x + -13x

Combine like terms: 2x + -13x = -11x
22 + -11x = 13x + -13x

Combine like terms: 13x + -13x = 0
22 + -11x = 0

Add '-22' to each side of the equation.
22 + -22 + -11x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -11x = 0 + -22
-11x = 0 + -22

Combine like terms: 0 + -22 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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