-3(x-3)+2(3x-2)=14

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Solution for -3(x-3)+2(3x-2)=14 equation:


Simplifying
-3(x + -3) + 2(3x + -2) = 14

Reorder the terms:
-3(-3 + x) + 2(3x + -2) = 14
(-3 * -3 + x * -3) + 2(3x + -2) = 14
(9 + -3x) + 2(3x + -2) = 14

Reorder the terms:
9 + -3x + 2(-2 + 3x) = 14
9 + -3x + (-2 * 2 + 3x * 2) = 14
9 + -3x + (-4 + 6x) = 14

Reorder the terms:
9 + -4 + -3x + 6x = 14

Combine like terms: 9 + -4 = 5
5 + -3x + 6x = 14

Combine like terms: -3x + 6x = 3x
5 + 3x = 14

Solving
5 + 3x = 14

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 + 3x = 14 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 14 + -5
3x = 14 + -5

Combine like terms: 14 + -5 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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