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

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


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

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

Reorder the terms:
15 + 5x = 10(-2 + x)
15 + 5x = (-2 * 10 + x * 10)
15 + 5x = (-20 + 10x)

Solving
15 + 5x = -20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
15 + 5x + -10x = -20 + 10x + -10x

Combine like terms: 5x + -10x = -5x
15 + -5x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
15 + -5x = -20 + 0
15 + -5x = -20

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

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

Combine like terms: -20 + -15 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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