3(2x-8)-2(2x-3)=10

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Solution for 3(2x-8)-2(2x-3)=10 equation: 


Simplifying
3(2x + -8) + -2(2x + -3) = 10

Reorder the terms:
3(-8 + 2x) + -2(2x + -3) = 10
(-8 * 3 + 2x * 3) + -2(2x + -3) = 10
(-24 + 6x) + -2(2x + -3) = 10

Reorder the terms:
-24 + 6x + -2(-3 + 2x) = 10
-24 + 6x + (-3 * -2 + 2x * -2) = 10
-24 + 6x + (6 + -4x) = 10

Reorder the terms:
-24 + 6 + 6x + -4x = 10

Combine like terms: -24 + 6 = -18
-18 + 6x + -4x = 10

Combine like terms: 6x + -4x = 2x
-18 + 2x = 10

Solving
-18 + 2x = 10

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 2x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 10 + 18
2x = 10 + 18

Combine like terms: 10 + 18 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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