177=x+6(8x+5)

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


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

Reorder the terms:
177 = x + 6(5 + 8x)
177 = x + (5 * 6 + 8x * 6)
177 = x + (30 + 48x)

Reorder the terms:
177 = 30 + x + 48x

Combine like terms: x + 48x = 49x
177 = 30 + 49x

Solving
177 = 30 + 49x

Solving for variable 'x'.

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

Add '-49x' to each side of the equation.
177 + -49x = 30 + 49x + -49x

Combine like terms: 49x + -49x = 0
177 + -49x = 30 + 0
177 + -49x = 30

Add '-177' to each side of the equation.
177 + -177 + -49x = 30 + -177

Combine like terms: 177 + -177 = 0
0 + -49x = 30 + -177
-49x = 30 + -177

Combine like terms: 30 + -177 = -147
-49x = -147

Divide each side by '-49'.
x = 3

Simplifying
x = 3

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