-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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