177=6x+5(5x-8)

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Solution for 177=6x+5(5x-8) equation:


Simplifying
177 = 6x + 5(5x + -8)

Reorder the terms:
177 = 6x + 5(-8 + 5x)
177 = 6x + (-8 * 5 + 5x * 5)
177 = 6x + (-40 + 25x)

Reorder the terms:
177 = -40 + 6x + 25x

Combine like terms: 6x + 25x = 31x
177 = -40 + 31x

Solving
177 = -40 + 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
177 + -31x = -40 + 31x + -31x

Combine like terms: 31x + -31x = 0
177 + -31x = -40 + 0
177 + -31x = -40

Add '-177' to each side of the equation.
177 + -177 + -31x = -40 + -177

Combine like terms: 177 + -177 = 0
0 + -31x = -40 + -177
-31x = -40 + -177

Combine like terms: -40 + -177 = -217
-31x = -217

Divide each side by '-31'.
x = 7

Simplifying
x = 7

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