6+7(x-8)=1-5(x-7)

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Solution for 6+7(x-8)=1-5(x-7) equation: 


Simplifying
6 + 7(x + -8) = 1 + -5(x + -7)

Reorder the terms:
6 + 7(-8 + x) = 1 + -5(x + -7)
6 + (-8 * 7 + x * 7) = 1 + -5(x + -7)
6 + (-56 + 7x) = 1 + -5(x + -7)

Combine like terms: 6 + -56 = -50
-50 + 7x = 1 + -5(x + -7)

Reorder the terms:
-50 + 7x = 1 + -5(-7 + x)
-50 + 7x = 1 + (-7 * -5 + x * -5)
-50 + 7x = 1 + (35 + -5x)

Combine like terms: 1 + 35 = 36
-50 + 7x = 36 + -5x

Solving
-50 + 7x = 36 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-50 + 7x + 5x = 36 + -5x + 5x

Combine like terms: 7x + 5x = 12x
-50 + 12x = 36 + -5x + 5x

Combine like terms: -5x + 5x = 0
-50 + 12x = 36 + 0
-50 + 12x = 36

Add '50' to each side of the equation.
-50 + 50 + 12x = 36 + 50

Combine like terms: -50 + 50 = 0
0 + 12x = 36 + 50
12x = 36 + 50

Combine like terms: 36 + 50 = 86
12x = 86

Divide each side by '12'.
x = 7.166666667

Simplifying
x = 7.166666667

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