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

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


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

Reorder the terms:
3(10 + x) = -2(x + -10)
(10 * 3 + x * 3) = -2(x + -10)
(30 + 3x) = -2(x + -10)

Reorder the terms:
30 + 3x = -2(-10 + x)
30 + 3x = (-10 * -2 + x * -2)
30 + 3x = (20 + -2x)

Solving
30 + 3x = 20 + -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.
30 + 3x + 2x = 20 + -2x + 2x

Combine like terms: 3x + 2x = 5x
30 + 5x = 20 + -2x + 2x

Combine like terms: -2x + 2x = 0
30 + 5x = 20 + 0
30 + 5x = 20

Add '-30' to each side of the equation.
30 + -30 + 5x = 20 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = 20 + -30
5x = 20 + -30

Combine like terms: 20 + -30 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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