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

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


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

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

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

Reorder the terms:
2 + 10x = 2 + 6 + 6x + -1x

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

Combine like terms: 6x + -1x = 5x
2 + 10x = 8 + 5x

Solving
2 + 10x = 8 + 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 + 10x + -5x = 8 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
2 + 5x = 8 + 0
2 + 5x = 8

Add '-2' to each side of the equation.
2 + -2 + 5x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 8 + -2
5x = 8 + -2

Combine like terms: 8 + -2 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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