9(x+2)-2(x-3)=10

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Solution for 9(x+2)-2(x-3)=10 equation: 


Simplifying
9(x + 2) + -2(x + -3) = 10

Reorder the terms:
9(2 + x) + -2(x + -3) = 10
(2 * 9 + x * 9) + -2(x + -3) = 10
(18 + 9x) + -2(x + -3) = 10

Reorder the terms:
18 + 9x + -2(-3 + x) = 10
18 + 9x + (-3 * -2 + x * -2) = 10
18 + 9x + (6 + -2x) = 10

Reorder the terms:
18 + 6 + 9x + -2x = 10

Combine like terms: 18 + 6 = 24
24 + 9x + -2x = 10

Combine like terms: 9x + -2x = 7x
24 + 7x = 10

Solving
24 + 7x = 10

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 7x = 10 + -24

Combine like terms: 24 + -24 = 0
0 + 7x = 10 + -24
7x = 10 + -24

Combine like terms: 10 + -24 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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