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

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


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

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

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

Solving
15 + 3x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
15 + 3x + 2x = 10 + -2x + 2x

Combine like terms: 3x + 2x = 5x
15 + 5x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + 5x = 10 + 0
15 + 5x = 10

Add '-15' to each side of the equation.
15 + -15 + 5x = 10 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 10 + -15
5x = 10 + -15

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

Divide each side by '5'.
x = -1

Simplifying
x = -1

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