10x+17+8(x+6)-13=180

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Solution for 10x+17+8(x+6)-13=180 equation:


Simplifying
10x + 17 + 8(x + 6) + -13 = 180

Reorder the terms:
10x + 17 + 8(6 + x) + -13 = 180
10x + 17 + (6 * 8 + x * 8) + -13 = 180
10x + 17 + (48 + 8x) + -13 = 180

Reorder the terms:
17 + 48 + -13 + 10x + 8x = 180

Combine like terms: 17 + 48 = 65
65 + -13 + 10x + 8x = 180

Combine like terms: 65 + -13 = 52
52 + 10x + 8x = 180

Combine like terms: 10x + 8x = 18x
52 + 18x = 180

Solving
52 + 18x = 180

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 18x = 180 + -52

Combine like terms: 52 + -52 = 0
0 + 18x = 180 + -52
18x = 180 + -52

Combine like terms: 180 + -52 = 128
18x = 128

Divide each side by '18'.
x = 7.111111111

Simplifying
x = 7.111111111

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