2x-7(x-1)=3-x

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Solution for 2x-7(x-1)=3-x equation:


Simplifying
2x + -7(x + -1) = 3 + -1x

Reorder the terms:
2x + -7(-1 + x) = 3 + -1x
2x + (-1 * -7 + x * -7) = 3 + -1x
2x + (7 + -7x) = 3 + -1x

Reorder the terms:
7 + 2x + -7x = 3 + -1x

Combine like terms: 2x + -7x = -5x
7 + -5x = 3 + -1x

Solving
7 + -5x = 3 + -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.
7 + -5x + x = 3 + -1x + x

Combine like terms: -5x + x = -4x
7 + -4x = 3 + -1x + x

Combine like terms: -1x + x = 0
7 + -4x = 3 + 0
7 + -4x = 3

Add '-7' to each side of the equation.
7 + -7 + -4x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 3 + -7
-4x = 3 + -7

Combine like terms: 3 + -7 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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