5(x-6)-6(x-5)=x+5-(x-2)

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Solution for 5(x-6)-6(x-5)=x+5-(x-2) equation: 


Simplifying
5(x + -6) + -6(x + -5) = x + 5 + -1(x + -2)

Reorder the terms:
5(-6 + x) + -6(x + -5) = x + 5 + -1(x + -2)
(-6 * 5 + x * 5) + -6(x + -5) = x + 5 + -1(x + -2)
(-30 + 5x) + -6(x + -5) = x + 5 + -1(x + -2)

Reorder the terms:
-30 + 5x + -6(-5 + x) = x + 5 + -1(x + -2)
-30 + 5x + (-5 * -6 + x * -6) = x + 5 + -1(x + -2)
-30 + 5x + (30 + -6x) = x + 5 + -1(x + -2)

Reorder the terms:
-30 + 30 + 5x + -6x = x + 5 + -1(x + -2)

Combine like terms: -30 + 30 = 0
0 + 5x + -6x = x + 5 + -1(x + -2)
5x + -6x = x + 5 + -1(x + -2)

Combine like terms: 5x + -6x = -1x
-1x = x + 5 + -1(x + -2)

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

Reorder the terms:
-1x = 5 + 2 + x + -1x

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

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

Solving
-1x = 7

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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