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

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


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

Reorder the terms:
3(-2 + 4x) = 10x + 2
(-2 * 3 + 4x * 3) = 10x + 2
(-6 + 12x) = 10x + 2

Reorder the terms:
-6 + 12x = 2 + 10x

Solving
-6 + 12x = 2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-6 + 12x + -10x = 2 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-6 + 2x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + 2x = 2 + 0
-6 + 2x = 2

Add '6' to each side of the equation.
-6 + 6 + 2x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 2 + 6
2x = 2 + 6

Combine like terms: 2 + 6 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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