5x+7-2=-5(3x+5)

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Solution for 5x+7-2=-5(3x+5) equation:


Simplifying
5x + 7 + -2 = -5(3x + 5)

Reorder the terms:
7 + -2 + 5x = -5(3x + 5)

Combine like terms: 7 + -2 = 5
5 + 5x = -5(3x + 5)

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

Solving
5 + 5x = -25 + -15x

Solving for variable 'x'.

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

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

Combine like terms: 5x + 15x = 20x
5 + 20x = -25 + -15x + 15x

Combine like terms: -15x + 15x = 0
5 + 20x = -25 + 0
5 + 20x = -25

Add '-5' to each side of the equation.
5 + -5 + 20x = -25 + -5

Combine like terms: 5 + -5 = 0
0 + 20x = -25 + -5
20x = -25 + -5

Combine like terms: -25 + -5 = -30
20x = -30

Divide each side by '20'.
x = -1.5

Simplifying
x = -1.5

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