4(2x+6)=-2x+4

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Solution for 4(2x+6)=-2x+4 equation:


Simplifying
4(2x + 6) = -2x + 4

Reorder the terms:
4(6 + 2x) = -2x + 4
(6 * 4 + 2x * 4) = -2x + 4
(24 + 8x) = -2x + 4

Reorder the terms:
24 + 8x = 4 + -2x

Solving
24 + 8x = 4 + -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.
24 + 8x + 2x = 4 + -2x + 2x

Combine like terms: 8x + 2x = 10x
24 + 10x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
24 + 10x = 4 + 0
24 + 10x = 4

Add '-24' to each side of the equation.
24 + -24 + 10x = 4 + -24

Combine like terms: 24 + -24 = 0
0 + 10x = 4 + -24
10x = 4 + -24

Combine like terms: 4 + -24 = -20
10x = -20

Divide each side by '10'.
x = -2

Simplifying
x = -2

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