9(x+5)-(2x-3)=9

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Solution for 9(x+5)-(2x-3)=9 equation:


Simplifying
9(x + 5) + -1(2x + -3) = 9

Reorder the terms:
9(5 + x) + -1(2x + -3) = 9
(5 * 9 + x * 9) + -1(2x + -3) = 9
(45 + 9x) + -1(2x + -3) = 9

Reorder the terms:
45 + 9x + -1(-3 + 2x) = 9
45 + 9x + (-3 * -1 + 2x * -1) = 9
45 + 9x + (3 + -2x) = 9

Reorder the terms:
45 + 3 + 9x + -2x = 9

Combine like terms: 45 + 3 = 48
48 + 9x + -2x = 9

Combine like terms: 9x + -2x = 7x
48 + 7x = 9

Solving
48 + 7x = 9

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + 7x = 9 + -48

Combine like terms: 48 + -48 = 0
0 + 7x = 9 + -48
7x = 9 + -48

Combine like terms: 9 + -48 = -39
7x = -39

Divide each side by '7'.
x = -5.571428571

Simplifying
x = -5.571428571

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