4(3x-1)-2=10x+6

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Solution for 4(3x-1)-2=10x+6 equation:


Simplifying
4(3x + -1) + -2 = 10x + 6

Reorder the terms:
4(-1 + 3x) + -2 = 10x + 6
(-1 * 4 + 3x * 4) + -2 = 10x + 6
(-4 + 12x) + -2 = 10x + 6

Reorder the terms:
-4 + -2 + 12x = 10x + 6

Combine like terms: -4 + -2 = -6
-6 + 12x = 10x + 6

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

Solving
-6 + 12x = 6 + 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 = 6 + 10x + -10x

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

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

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

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

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

Divide each side by '2'.
x = 6

Simplifying
x = 6

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