2(3x+1)-(x-5)=1

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Solution for 2(3x+1)-(x-5)=1 equation: 


Simplifying
2(3x + 1) + -1(x + -5) = 1

Reorder the terms:
2(1 + 3x) + -1(x + -5) = 1
(1 * 2 + 3x * 2) + -1(x + -5) = 1
(2 + 6x) + -1(x + -5) = 1

Reorder the terms:
2 + 6x + -1(-5 + x) = 1
2 + 6x + (-5 * -1 + x * -1) = 1
2 + 6x + (5 + -1x) = 1

Reorder the terms:
2 + 5 + 6x + -1x = 1

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

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

Solving
7 + 5x = 1

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 1 + -7

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

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

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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