7(x-8)-8(x-7)=x+3-(x-7)

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Solution for 7(x-8)-8(x-7)=x+3-(x-7) equation:


Simplifying
7(x + -8) + -8(x + -7) = x + 3 + -1(x + -7)

Reorder the terms:
7(-8 + x) + -8(x + -7) = x + 3 + -1(x + -7)
(-8 * 7 + x * 7) + -8(x + -7) = x + 3 + -1(x + -7)
(-56 + 7x) + -8(x + -7) = x + 3 + -1(x + -7)

Reorder the terms:
-56 + 7x + -8(-7 + x) = x + 3 + -1(x + -7)
-56 + 7x + (-7 * -8 + x * -8) = x + 3 + -1(x + -7)
-56 + 7x + (56 + -8x) = x + 3 + -1(x + -7)

Reorder the terms:
-56 + 56 + 7x + -8x = x + 3 + -1(x + -7)

Combine like terms: -56 + 56 = 0
0 + 7x + -8x = x + 3 + -1(x + -7)
7x + -8x = x + 3 + -1(x + -7)

Combine like terms: 7x + -8x = -1x
-1x = x + 3 + -1(x + -7)

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

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

Combine like terms: 3 + 7 = 10
-1x = 10 + x + -1x

Combine like terms: x + -1x = 0
-1x = 10 + 0
-1x = 10

Solving
-1x = 10

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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