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

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


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

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

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

Combine like terms: 10 + -10 = 0
10 + 5x = 0 + -2x
10 + 5x = -2x

Solving
10 + 5x = -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.
10 + 5x + 2x = -2x + 2x

Combine like terms: 5x + 2x = 7x
10 + 7x = -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 7x = 0

Add '-10' to each side of the equation.
10 + -10 + 7x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 0 + -10
7x = 0 + -10

Combine like terms: 0 + -10 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429

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