9(x+5)-(-2x-1)=6

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Solution for 9(x+5)-(-2x-1)=6 equation:


Simplifying
9(x + 5) + -1(-2x + -1) = 6

Reorder the terms:
9(5 + x) + -1(-2x + -1) = 6
(5 * 9 + x * 9) + -1(-2x + -1) = 6
(45 + 9x) + -1(-2x + -1) = 6

Reorder the terms:
45 + 9x + -1(-1 + -2x) = 6
45 + 9x + (-1 * -1 + -2x * -1) = 6
45 + 9x + (1 + 2x) = 6

Reorder the terms:
45 + 1 + 9x + 2x = 6

Combine like terms: 45 + 1 = 46
46 + 9x + 2x = 6

Combine like terms: 9x + 2x = 11x
46 + 11x = 6

Solving
46 + 11x = 6

Solving for variable 'x'.

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

Add '-46' to each side of the equation.
46 + -46 + 11x = 6 + -46

Combine like terms: 46 + -46 = 0
0 + 11x = 6 + -46
11x = 6 + -46

Combine like terms: 6 + -46 = -40
11x = -40

Divide each side by '11'.
x = -3.636363636

Simplifying
x = -3.636363636

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