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

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


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

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

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

Reorder the terms:
45 + 1 + 9x + -2x = 5

Combine like terms: 45 + 1 = 46
46 + 9x + -2x = 5

Combine like terms: 9x + -2x = 7x
46 + 7x = 5

Solving
46 + 7x = 5

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 + 7x = 5 + -46

Combine like terms: 46 + -46 = 0
0 + 7x = 5 + -46
7x = 5 + -46

Combine like terms: 5 + -46 = -41
7x = -41

Divide each side by '7'.
x = -5.857142857

Simplifying
x = -5.857142857

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