7(5x+8)+(x+9)=18

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Solution for 7(5x+8)+(x+9)=18 equation:


Simplifying
7(5x + 8) + (x + 9) = 18

Reorder the terms:
7(8 + 5x) + (x + 9) = 18
(8 * 7 + 5x * 7) + (x + 9) = 18
(56 + 35x) + (x + 9) = 18

Reorder the terms:
56 + 35x + (9 + x) = 18

Remove parenthesis around (9 + x)
56 + 35x + 9 + x = 18

Reorder the terms:
56 + 9 + 35x + x = 18

Combine like terms: 56 + 9 = 65
65 + 35x + x = 18

Combine like terms: 35x + x = 36x
65 + 36x = 18

Solving
65 + 36x = 18

Solving for variable 'x'.

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

Add '-65' to each side of the equation.
65 + -65 + 36x = 18 + -65

Combine like terms: 65 + -65 = 0
0 + 36x = 18 + -65
36x = 18 + -65

Combine like terms: 18 + -65 = -47
36x = -47

Divide each side by '36'.
x = -1.305555556

Simplifying
x = -1.305555556

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