2(x+10)=-3(x-15)

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Solution for 2(x+10)=-3(x-15) equation: 


Simplifying
2(x + 10) = -3(x + -15)

Reorder the terms:
2(10 + x) = -3(x + -15)
(10 * 2 + x * 2) = -3(x + -15)
(20 + 2x) = -3(x + -15)

Reorder the terms:
20 + 2x = -3(-15 + x)
20 + 2x = (-15 * -3 + x * -3)
20 + 2x = (45 + -3x)

Solving
20 + 2x = 45 + -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 = 45 + -3x + 3x

Combine like terms: 2x + 3x = 5x
20 + 5x = 45 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + 5x = 45 + 0
20 + 5x = 45

Add '-20' to each side of the equation.
20 + -20 + 5x = 45 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 45 + -20
5x = 45 + -20

Combine like terms: 45 + -20 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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