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

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


Simplifying
4(2 + -1x) = 2(x + 7)
(2 * 4 + -1x * 4) = 2(x + 7)
(8 + -4x) = 2(x + 7)

Reorder the terms:
8 + -4x = 2(7 + x)
8 + -4x = (7 * 2 + x * 2)
8 + -4x = (14 + 2x)

Solving
8 + -4x = 14 + 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.
8 + -4x + -2x = 14 + 2x + -2x

Combine like terms: -4x + -2x = -6x
8 + -6x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -6x = 14 + 0
8 + -6x = 14

Add '-8' to each side of the equation.
8 + -8 + -6x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = 14 + -8
-6x = 14 + -8

Combine like terms: 14 + -8 = 6
-6x = 6

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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