6x+1=3(2x+1)-x+8

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Solution for 6x+1=3(2x+1)-x+8 equation:


Simplifying
6x + 1 = 3(2x + 1) + -1x + 8

Reorder the terms:
1 + 6x = 3(2x + 1) + -1x + 8

Reorder the terms:
1 + 6x = 3(1 + 2x) + -1x + 8
1 + 6x = (1 * 3 + 2x * 3) + -1x + 8
1 + 6x = (3 + 6x) + -1x + 8

Reorder the terms:
1 + 6x = 3 + 8 + 6x + -1x

Combine like terms: 3 + 8 = 11
1 + 6x = 11 + 6x + -1x

Combine like terms: 6x + -1x = 5x
1 + 6x = 11 + 5x

Solving
1 + 6x = 11 + 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.
1 + 6x + -5x = 11 + 5x + -5x

Combine like terms: 6x + -5x = 1x
1 + 1x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + 1x = 11 + 0
1 + 1x = 11

Add '-1' to each side of the equation.
1 + -1 + 1x = 11 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 11 + -1
1x = 11 + -1

Combine like terms: 11 + -1 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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