2(3x+1)=x+7

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


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

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

Reorder the terms:
2 + 6x = 7 + x

Solving
2 + 6x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 6x + -1x = 7 + x + -1x

Combine like terms: 6x + -1x = 5x
2 + 5x = 7 + x + -1x

Combine like terms: x + -1x = 0
2 + 5x = 7 + 0
2 + 5x = 7

Add '-2' to each side of the equation.
2 + -2 + 5x = 7 + -2

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

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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