-3x+7-7(x-1)=-(2x-4)-7x+7

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Solution for -3x+7-7(x-1)=-(2x-4)-7x+7 equation:


Simplifying
-3x + 7 + -7(x + -1) = -1(2x + -4) + -7x + 7

Reorder the terms:
-3x + 7 + -7(-1 + x) = -1(2x + -4) + -7x + 7
-3x + 7 + (-1 * -7 + x * -7) = -1(2x + -4) + -7x + 7
-3x + 7 + (7 + -7x) = -1(2x + -4) + -7x + 7

Reorder the terms:
7 + 7 + -3x + -7x = -1(2x + -4) + -7x + 7

Combine like terms: 7 + 7 = 14
14 + -3x + -7x = -1(2x + -4) + -7x + 7

Combine like terms: -3x + -7x = -10x
14 + -10x = -1(2x + -4) + -7x + 7

Reorder the terms:
14 + -10x = -1(-4 + 2x) + -7x + 7
14 + -10x = (-4 * -1 + 2x * -1) + -7x + 7
14 + -10x = (4 + -2x) + -7x + 7

Reorder the terms:
14 + -10x = 4 + 7 + -2x + -7x

Combine like terms: 4 + 7 = 11
14 + -10x = 11 + -2x + -7x

Combine like terms: -2x + -7x = -9x
14 + -10x = 11 + -9x

Solving
14 + -10x = 11 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
14 + -10x + 9x = 11 + -9x + 9x

Combine like terms: -10x + 9x = -1x
14 + -1x = 11 + -9x + 9x

Combine like terms: -9x + 9x = 0
14 + -1x = 11 + 0
14 + -1x = 11

Add '-14' to each side of the equation.
14 + -14 + -1x = 11 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 11 + -14
-1x = 11 + -14

Combine like terms: 11 + -14 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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