3(x+2)-2(3x-5)=10

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Solution for 3(x+2)-2(3x-5)=10 equation: 


Simplifying
3(x + 2) + -2(3x + -5) = 10

Reorder the terms:
3(2 + x) + -2(3x + -5) = 10
(2 * 3 + x * 3) + -2(3x + -5) = 10
(6 + 3x) + -2(3x + -5) = 10

Reorder the terms:
6 + 3x + -2(-5 + 3x) = 10
6 + 3x + (-5 * -2 + 3x * -2) = 10
6 + 3x + (10 + -6x) = 10

Reorder the terms:
6 + 10 + 3x + -6x = 10

Combine like terms: 6 + 10 = 16
16 + 3x + -6x = 10

Combine like terms: 3x + -6x = -3x
16 + -3x = 10

Solving
16 + -3x = 10

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -3x = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 10 + -16
-3x = 10 + -16

Combine like terms: 10 + -16 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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