4(x+5)=-2(x-28)

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Solution for 4(x+5)=-2(x-28) equation: 


Simplifying
4(x + 5) = -2(x + -28)

Reorder the terms:
4(5 + x) = -2(x + -28)
(5 * 4 + x * 4) = -2(x + -28)
(20 + 4x) = -2(x + -28)

Reorder the terms:
20 + 4x = -2(-28 + x)
20 + 4x = (-28 * -2 + x * -2)
20 + 4x = (56 + -2x)

Solving
20 + 4x = 56 + -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.
20 + 4x + 2x = 56 + -2x + 2x

Combine like terms: 4x + 2x = 6x
20 + 6x = 56 + -2x + 2x

Combine like terms: -2x + 2x = 0
20 + 6x = 56 + 0
20 + 6x = 56

Add '-20' to each side of the equation.
20 + -20 + 6x = 56 + -20

Combine like terms: 20 + -20 = 0
0 + 6x = 56 + -20
6x = 56 + -20

Combine like terms: 56 + -20 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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