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

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


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

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

Reorder the terms:
25 + 10x = -3(2 + 3x) + x
25 + 10x = (2 * -3 + 3x * -3) + x
25 + 10x = (-6 + -9x) + x

Combine like terms: -9x + x = -8x
25 + 10x = -6 + -8x

Solving
25 + 10x = -6 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
25 + 10x + 8x = -6 + -8x + 8x

Combine like terms: 10x + 8x = 18x
25 + 18x = -6 + -8x + 8x

Combine like terms: -8x + 8x = 0
25 + 18x = -6 + 0
25 + 18x = -6

Add '-25' to each side of the equation.
25 + -25 + 18x = -6 + -25

Combine like terms: 25 + -25 = 0
0 + 18x = -6 + -25
18x = -6 + -25

Combine like terms: -6 + -25 = -31
18x = -31

Divide each side by '18'.
x = -1.722222222

Simplifying
x = -1.722222222

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