2(x+5)=-4(x-7)

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Solution for 2(x+5)=-4(x-7) equation:


Simplifying
2(x + 5) = -4(x + -7)

Reorder the terms:
2(5 + x) = -4(x + -7)
(5 * 2 + x * 2) = -4(x + -7)
(10 + 2x) = -4(x + -7)

Reorder the terms:
10 + 2x = -4(-7 + x)
10 + 2x = (-7 * -4 + x * -4)
10 + 2x = (28 + -4x)

Solving
10 + 2x = 28 + -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 = 28 + -4x + 4x

Combine like terms: 2x + 4x = 6x
10 + 6x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 6x = 28 + 0
10 + 6x = 28

Add '-10' to each side of the equation.
10 + -10 + 6x = 28 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 28 + -10
6x = 28 + -10

Combine like terms: 28 + -10 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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