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

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


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

Reorder the terms:
10(3 + x) = 5(x + -5)
(3 * 10 + x * 10) = 5(x + -5)
(30 + 10x) = 5(x + -5)

Reorder the terms:
30 + 10x = 5(-5 + x)
30 + 10x = (-5 * 5 + x * 5)
30 + 10x = (-25 + 5x)

Solving
30 + 10x = -25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
30 + 10x + -5x = -25 + 5x + -5x

Combine like terms: 10x + -5x = 5x
30 + 5x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 5x = -25 + 0
30 + 5x = -25

Add '-30' to each side of the equation.
30 + -30 + 5x = -25 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = -25 + -30
5x = -25 + -30

Combine like terms: -25 + -30 = -55
5x = -55

Divide each side by '5'.
x = -11

Simplifying
x = -11

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