5(x+5)=-5(2x-3)+x

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Solution for 5(x+5)=-5(2x-3)+x equation:


Simplifying
5(x + 5) = -5(2x + -3) + x

Reorder the terms:
5(5 + x) = -5(2x + -3) + x
(5 * 5 + x * 5) = -5(2x + -3) + x
(25 + 5x) = -5(2x + -3) + x

Reorder the terms:
25 + 5x = -5(-3 + 2x) + x
25 + 5x = (-3 * -5 + 2x * -5) + x
25 + 5x = (15 + -10x) + x

Combine like terms: -10x + x = -9x
25 + 5x = 15 + -9x

Solving
25 + 5x = 15 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
25 + 5x + 9x = 15 + -9x + 9x

Combine like terms: 5x + 9x = 14x
25 + 14x = 15 + -9x + 9x

Combine like terms: -9x + 9x = 0
25 + 14x = 15 + 0
25 + 14x = 15

Add '-25' to each side of the equation.
25 + -25 + 14x = 15 + -25

Combine like terms: 25 + -25 = 0
0 + 14x = 15 + -25
14x = 15 + -25

Combine like terms: 15 + -25 = -10
14x = -10

Divide each side by '14'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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