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

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


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

Reorder the terms:
2(5 + x) = -2(3 + -2x)
(5 * 2 + x * 2) = -2(3 + -2x)
(10 + 2x) = -2(3 + -2x)
10 + 2x = (3 * -2 + -2x * -2)
10 + 2x = (-6 + 4x)

Solving
10 + 2x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 2x + -4x = -6 + 4x + -4x

Combine like terms: 2x + -4x = -2x
10 + -2x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -2x = -6 + 0
10 + -2x = -6

Add '-10' to each side of the equation.
10 + -10 + -2x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -6 + -10
-2x = -6 + -10

Combine like terms: -6 + -10 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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