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

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


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

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

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

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

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

Solving
5 + 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.
5 + 3x + 2x = -20 + -2x + 2x

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

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

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

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

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

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

Simplifying
x = -5

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