-3x+9-7(x-1)=-(2x-5)-7x+7

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Solution for -3x+9-7(x-1)=-(2x-5)-7x+7 equation:


Simplifying
-3x + 9 + -7(x + -1) = -1(2x + -5) + -7x + 7

Reorder the terms:
-3x + 9 + -7(-1 + x) = -1(2x + -5) + -7x + 7
-3x + 9 + (-1 * -7 + x * -7) = -1(2x + -5) + -7x + 7
-3x + 9 + (7 + -7x) = -1(2x + -5) + -7x + 7

Reorder the terms:
9 + 7 + -3x + -7x = -1(2x + -5) + -7x + 7

Combine like terms: 9 + 7 = 16
16 + -3x + -7x = -1(2x + -5) + -7x + 7

Combine like terms: -3x + -7x = -10x
16 + -10x = -1(2x + -5) + -7x + 7

Reorder the terms:
16 + -10x = -1(-5 + 2x) + -7x + 7
16 + -10x = (-5 * -1 + 2x * -1) + -7x + 7
16 + -10x = (5 + -2x) + -7x + 7

Reorder the terms:
16 + -10x = 5 + 7 + -2x + -7x

Combine like terms: 5 + 7 = 12
16 + -10x = 12 + -2x + -7x

Combine like terms: -2x + -7x = -9x
16 + -10x = 12 + -9x

Solving
16 + -10x = 12 + -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.
16 + -10x + 9x = 12 + -9x + 9x

Combine like terms: -10x + 9x = -1x
16 + -1x = 12 + -9x + 9x

Combine like terms: -9x + 9x = 0
16 + -1x = 12 + 0
16 + -1x = 12

Add '-16' to each side of the equation.
16 + -16 + -1x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 12 + -16
-1x = 12 + -16

Combine like terms: 12 + -16 = -4
-1x = -4

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

Simplifying
x = 4

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