2(2x-7)=1-x

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Solution for 2(2x-7)=1-x equation: 


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

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

Solving
-14 + 4x = 1 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-14 + 4x + x = 1 + -1x + x

Combine like terms: 4x + x = 5x
-14 + 5x = 1 + -1x + x

Combine like terms: -1x + x = 0
-14 + 5x = 1 + 0
-14 + 5x = 1

Add '14' to each side of the equation.
-14 + 14 + 5x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 1 + 14
5x = 1 + 14

Combine like terms: 1 + 14 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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