10(2+x)=-5(4-x)

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Solution for 10(2+x)=-5(4-x) equation:


Simplifying
10(2 + x) = -5(4 + -1x)
(2 * 10 + x * 10) = -5(4 + -1x)
(20 + 10x) = -5(4 + -1x)
20 + 10x = (4 * -5 + -1x * -5)
20 + 10x = (-20 + 5x)

Solving
20 + 10x = -20 + 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.
20 + 10x + -5x = -20 + 5x + -5x

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

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

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

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

Combine like terms: -20 + -20 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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