2(3x-4)-3(x-2)=10

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Solution for 2(3x-4)-3(x-2)=10 equation: 


Simplifying
2(3x + -4) + -3(x + -2) = 10

Reorder the terms:
2(-4 + 3x) + -3(x + -2) = 10
(-4 * 2 + 3x * 2) + -3(x + -2) = 10
(-8 + 6x) + -3(x + -2) = 10

Reorder the terms:
-8 + 6x + -3(-2 + x) = 10
-8 + 6x + (-2 * -3 + x * -3) = 10
-8 + 6x + (6 + -3x) = 10

Reorder the terms:
-8 + 6 + 6x + -3x = 10

Combine like terms: -8 + 6 = -2
-2 + 6x + -3x = 10

Combine like terms: 6x + -3x = 3x
-2 + 3x = 10

Solving
-2 + 3x = 10

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 3x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 10 + 2
3x = 10 + 2

Combine like terms: 10 + 2 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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