2(x+10)=-3(x-5)

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Solution for 2(x+10)=-3(x-5) equation: 


Simplifying
2(x + 10) = -3(x + -5)

Reorder the terms:
2(10 + x) = -3(x + -5)
(10 * 2 + x * 2) = -3(x + -5)
(20 + 2x) = -3(x + -5)

Reorder the terms:
20 + 2x = -3(-5 + x)
20 + 2x = (-5 * -3 + x * -3)
20 + 2x = (15 + -3x)

Solving
20 + 2x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
20 + 2x + 3x = 15 + -3x + 3x

Combine like terms: 2x + 3x = 5x
20 + 5x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + 5x = 15 + 0
20 + 5x = 15

Add '-20' to each side of the equation.
20 + -20 + 5x = 15 + -20

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

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

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

Simplifying
x = -1

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