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

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


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

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

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

Combine like terms: -5 + -7 = -12
-12 + 5x + -2x = (x + -2) + -1(x + 7)

Combine like terms: 5x + -2x = 3x
-12 + 3x = (x + -2) + -1(x + 7)

Reorder the terms:
-12 + 3x = (-2 + x) + -1(x + 7)

Remove parenthesis around (-2 + x)
-12 + 3x = -2 + x + -1(x + 7)

Reorder the terms:
-12 + 3x = -2 + x + -1(7 + x)
-12 + 3x = -2 + x + (7 * -1 + x * -1)
-12 + 3x = -2 + x + (-7 + -1x)

Reorder the terms:
-12 + 3x = -2 + -7 + x + -1x

Combine like terms: -2 + -7 = -9
-12 + 3x = -9 + x + -1x

Combine like terms: x + -1x = 0
-12 + 3x = -9 + 0
-12 + 3x = -9

Solving
-12 + 3x = -9

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 3x = -9 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -9 + 12
3x = -9 + 12

Combine like terms: -9 + 12 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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