2(5x-12)=6(-2x+3)+2

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Solution for 2(5x-12)=6(-2x+3)+2 equation:


Simplifying
2(5x + -12) = 6(-2x + 3) + 2

Reorder the terms:
2(-12 + 5x) = 6(-2x + 3) + 2
(-12 * 2 + 5x * 2) = 6(-2x + 3) + 2
(-24 + 10x) = 6(-2x + 3) + 2

Reorder the terms:
-24 + 10x = 6(3 + -2x) + 2
-24 + 10x = (3 * 6 + -2x * 6) + 2
-24 + 10x = (18 + -12x) + 2

Reorder the terms:
-24 + 10x = 18 + 2 + -12x

Combine like terms: 18 + 2 = 20
-24 + 10x = 20 + -12x

Solving
-24 + 10x = 20 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-24 + 10x + 12x = 20 + -12x + 12x

Combine like terms: 10x + 12x = 22x
-24 + 22x = 20 + -12x + 12x

Combine like terms: -12x + 12x = 0
-24 + 22x = 20 + 0
-24 + 22x = 20

Add '24' to each side of the equation.
-24 + 24 + 22x = 20 + 24

Combine like terms: -24 + 24 = 0
0 + 22x = 20 + 24
22x = 20 + 24

Combine like terms: 20 + 24 = 44
22x = 44

Divide each side by '22'.
x = 2

Simplifying
x = 2

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