177=4x+7(x+8)

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Solution for 177=4x+7(x+8) equation:


Simplifying
177 = 4x + 7(x + 8)

Reorder the terms:
177 = 4x + 7(8 + x)
177 = 4x + (8 * 7 + x * 7)
177 = 4x + (56 + 7x)

Reorder the terms:
177 = 56 + 4x + 7x

Combine like terms: 4x + 7x = 11x
177 = 56 + 11x

Solving
177 = 56 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
177 + -11x = 56 + 11x + -11x

Combine like terms: 11x + -11x = 0
177 + -11x = 56 + 0
177 + -11x = 56

Add '-177' to each side of the equation.
177 + -177 + -11x = 56 + -177

Combine like terms: 177 + -177 = 0
0 + -11x = 56 + -177
-11x = 56 + -177

Combine like terms: 56 + -177 = -121
-11x = -121

Divide each side by '-11'.
x = 11

Simplifying
x = 11

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