x+5(x+1)=77

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Solution for x+5(x+1)=77 equation:


Simplifying
x + 5(x + 1) = 77

Reorder the terms:
x + 5(1 + x) = 77
x + (1 * 5 + x * 5) = 77
x + (5 + 5x) = 77

Reorder the terms:
5 + x + 5x = 77

Combine like terms: x + 5x = 6x
5 + 6x = 77

Solving
5 + 6x = 77

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 6x = 77 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 77 + -5
6x = 77 + -5

Combine like terms: 77 + -5 = 72
6x = 72

Divide each side by '6'.
x = 12

Simplifying
x = 12

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