x+(x-8)+5(x-8)=92

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Solution for x+(x-8)+5(x-8)=92 equation:


Simplifying
x + (x + -8) + 5(x + -8) = 92

Reorder the terms:
x + (-8 + x) + 5(x + -8) = 92

Remove parenthesis around (-8 + x)
x + -8 + x + 5(x + -8) = 92

Reorder the terms:
x + -8 + x + 5(-8 + x) = 92
x + -8 + x + (-8 * 5 + x * 5) = 92
x + -8 + x + (-40 + 5x) = 92

Reorder the terms:
-8 + -40 + x + x + 5x = 92

Combine like terms: -8 + -40 = -48
-48 + x + x + 5x = 92

Combine like terms: x + x = 2x
-48 + 2x + 5x = 92

Combine like terms: 2x + 5x = 7x
-48 + 7x = 92

Solving
-48 + 7x = 92

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 48 + 7x = 92 + 48

Combine like terms: -48 + 48 = 0
0 + 7x = 92 + 48
7x = 92 + 48

Combine like terms: 92 + 48 = 140
7x = 140

Divide each side by '7'.
x = 20

Simplifying
x = 20

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