5(x+5)=-3(5x-7)+6x

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Solution for 5(x+5)=-3(5x-7)+6x equation:


Simplifying
5(x + 5) = -3(5x + -7) + 6x

Reorder the terms:
5(5 + x) = -3(5x + -7) + 6x
(5 * 5 + x * 5) = -3(5x + -7) + 6x
(25 + 5x) = -3(5x + -7) + 6x

Reorder the terms:
25 + 5x = -3(-7 + 5x) + 6x
25 + 5x = (-7 * -3 + 5x * -3) + 6x
25 + 5x = (21 + -15x) + 6x

Combine like terms: -15x + 6x = -9x
25 + 5x = 21 + -9x

Solving
25 + 5x = 21 + -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 = 21 + -9x + 9x

Combine like terms: 5x + 9x = 14x
25 + 14x = 21 + -9x + 9x

Combine like terms: -9x + 9x = 0
25 + 14x = 21 + 0
25 + 14x = 21

Add '-25' to each side of the equation.
25 + -25 + 14x = 21 + -25

Combine like terms: 25 + -25 = 0
0 + 14x = 21 + -25
14x = 21 + -25

Combine like terms: 21 + -25 = -4
14x = -4

Divide each side by '14'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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