8+7(x-7)=8-9(x-7)

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Solution for 8+7(x-7)=8-9(x-7) equation:


Simplifying
8 + 7(x + -7) = 8 + -9(x + -7)

Reorder the terms:
8 + 7(-7 + x) = 8 + -9(x + -7)
8 + (-7 * 7 + x * 7) = 8 + -9(x + -7)
8 + (-49 + 7x) = 8 + -9(x + -7)

Combine like terms: 8 + -49 = -41
-41 + 7x = 8 + -9(x + -7)

Reorder the terms:
-41 + 7x = 8 + -9(-7 + x)
-41 + 7x = 8 + (-7 * -9 + x * -9)
-41 + 7x = 8 + (63 + -9x)

Combine like terms: 8 + 63 = 71
-41 + 7x = 71 + -9x

Solving
-41 + 7x = 71 + -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.
-41 + 7x + 9x = 71 + -9x + 9x

Combine like terms: 7x + 9x = 16x
-41 + 16x = 71 + -9x + 9x

Combine like terms: -9x + 9x = 0
-41 + 16x = 71 + 0
-41 + 16x = 71

Add '41' to each side of the equation.
-41 + 41 + 16x = 71 + 41

Combine like terms: -41 + 41 = 0
0 + 16x = 71 + 41
16x = 71 + 41

Combine like terms: 71 + 41 = 112
16x = 112

Divide each side by '16'.
x = 7

Simplifying
x = 7

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