2(x-7)=2(2-x)-8

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Solution for 2(x-7)=2(2-x)-8 equation:


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

Reorder the terms:
2(-7 + x) = 2(2 + -1x) + -8
(-7 * 2 + x * 2) = 2(2 + -1x) + -8
(-14 + 2x) = 2(2 + -1x) + -8
-14 + 2x = (2 * 2 + -1x * 2) + -8
-14 + 2x = (4 + -2x) + -8

Reorder the terms:
-14 + 2x = 4 + -8 + -2x

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

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

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

Combine like terms: -2x + 2x = 0
-14 + 4x = -4 + 0
-14 + 4x = -4

Add '14' to each side of the equation.
-14 + 14 + 4x = -4 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = -4 + 14
4x = -4 + 14

Combine like terms: -4 + 14 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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