12x+2=3(2x+1)-x+7

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Solution for 12x+2=3(2x+1)-x+7 equation: 


Simplifying
12x + 2 = 3(2x + 1) + -1x + 7

Reorder the terms:
2 + 12x = 3(2x + 1) + -1x + 7

Reorder the terms:
2 + 12x = 3(1 + 2x) + -1x + 7
2 + 12x = (1 * 3 + 2x * 3) + -1x + 7
2 + 12x = (3 + 6x) + -1x + 7

Reorder the terms:
2 + 12x = 3 + 7 + 6x + -1x

Combine like terms: 3 + 7 = 10
2 + 12x = 10 + 6x + -1x

Combine like terms: 6x + -1x = 5x
2 + 12x = 10 + 5x

Solving
2 + 12x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 12x + -5x = 10 + 5x + -5x

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

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

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

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

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

Divide each side by '7'.
x = 1.142857143

Simplifying
x = 1.142857143

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