6(x+4)+2x=10x+12

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Solution for 6(x+4)+2x=10x+12 equation:


Simplifying
6(x + 4) + 2x = 10x + 12

Reorder the terms:
6(4 + x) + 2x = 10x + 12
(4 * 6 + x * 6) + 2x = 10x + 12
(24 + 6x) + 2x = 10x + 12

Combine like terms: 6x + 2x = 8x
24 + 8x = 10x + 12

Reorder the terms:
24 + 8x = 12 + 10x

Solving
24 + 8x = 12 + 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.
24 + 8x + -10x = 12 + 10x + -10x

Combine like terms: 8x + -10x = -2x
24 + -2x = 12 + 10x + -10x

Combine like terms: 10x + -10x = 0
24 + -2x = 12 + 0
24 + -2x = 12

Add '-24' to each side of the equation.
24 + -24 + -2x = 12 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = 12 + -24
-2x = 12 + -24

Combine like terms: 12 + -24 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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