7(x-8)-8(x-7)=x+7-(x+5)

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Solution for 7(x-8)-8(x-7)=x+7-(x+5) equation: 


Simplifying
7(x + -8) + -8(x + -7) = x + 7 + -1(x + 5)

Reorder the terms:
7(-8 + x) + -8(x + -7) = x + 7 + -1(x + 5)
(-8 * 7 + x * 7) + -8(x + -7) = x + 7 + -1(x + 5)
(-56 + 7x) + -8(x + -7) = x + 7 + -1(x + 5)

Reorder the terms:
-56 + 7x + -8(-7 + x) = x + 7 + -1(x + 5)
-56 + 7x + (-7 * -8 + x * -8) = x + 7 + -1(x + 5)
-56 + 7x + (56 + -8x) = x + 7 + -1(x + 5)

Reorder the terms:
-56 + 56 + 7x + -8x = x + 7 + -1(x + 5)

Combine like terms: -56 + 56 = 0
0 + 7x + -8x = x + 7 + -1(x + 5)
7x + -8x = x + 7 + -1(x + 5)

Combine like terms: 7x + -8x = -1x
-1x = x + 7 + -1(x + 5)

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

Reorder the terms:
-1x = 7 + -5 + x + -1x

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

Combine like terms: x + -1x = 0
-1x = 2 + 0
-1x = 2

Solving
-1x = 2

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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