12x+2=2(4x+1)-x+7

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Solution for 12x+2=2(4x+1)-x+7 equation:


Simplifying
12x + 2 = 2(4x + 1) + -1x + 7

Reorder the terms:
2 + 12x = 2(4x + 1) + -1x + 7

Reorder the terms:
2 + 12x = 2(1 + 4x) + -1x + 7
2 + 12x = (1 * 2 + 4x * 2) + -1x + 7
2 + 12x = (2 + 8x) + -1x + 7

Reorder the terms:
2 + 12x = 2 + 7 + 8x + -1x

Combine like terms: 2 + 7 = 9
2 + 12x = 9 + 8x + -1x

Combine like terms: 8x + -1x = 7x
2 + 12x = 9 + 7x

Solving
2 + 12x = 9 + 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 = 9 + 7x + -7x

Combine like terms: 12x + -7x = 5x
2 + 5x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 5x = 9 + 0
2 + 5x = 9

Add '-2' to each side of the equation.
2 + -2 + 5x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 9 + -2
5x = 9 + -2

Combine like terms: 9 + -2 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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