9*(x+1)-2*(2-3x)=10

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Solution for 9*(x+1)-2*(2-3x)=10 equation: 


Simplifying
9(x + 1) + -2(2 + -3x) = 10

Reorder the terms:
9(1 + x) + -2(2 + -3x) = 10
(1 * 9 + x * 9) + -2(2 + -3x) = 10
(9 + 9x) + -2(2 + -3x) = 10
9 + 9x + (2 * -2 + -3x * -2) = 10
9 + 9x + (-4 + 6x) = 10

Reorder the terms:
9 + -4 + 9x + 6x = 10

Combine like terms: 9 + -4 = 5
5 + 9x + 6x = 10

Combine like terms: 9x + 6x = 15x
5 + 15x = 10

Solving
5 + 15x = 10

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 15x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 15x = 10 + -5
15x = 10 + -5

Combine like terms: 10 + -5 = 5
15x = 5

Divide each side by '15'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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