12x+2=4(2x+1)-x+6

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Solution for 12x+2=4(2x+1)-x+6 equation: 


Simplifying
12x + 2 = 4(2x + 1) + -1x + 6

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

Reorder the terms:
2 + 12x = 4(1 + 2x) + -1x + 6
2 + 12x = (1 * 4 + 2x * 4) + -1x + 6
2 + 12x = (4 + 8x) + -1x + 6

Reorder the terms:
2 + 12x = 4 + 6 + 8x + -1x

Combine like terms: 4 + 6 = 10
2 + 12x = 10 + 8x + -1x

Combine like terms: 8x + -1x = 7x
2 + 12x = 10 + 7x

Solving
2 + 12x = 10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 12x + -7x = 10 + 7x + -7x

Combine like terms: 12x + -7x = 5x
2 + 5x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 5x = 10 + 0
2 + 5x = 10

Add '-2' to each side of the equation.
2 + -2 + 5x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 10 + -2
5x = 10 + -2

Combine like terms: 10 + -2 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

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