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

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


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

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

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

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

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

Solving
5 + 2x = 1 + 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.
5 + 2x + -5x = 1 + 5x + -5x

Combine like terms: 2x + -5x = -3x
5 + -3x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -3x = 1 + 0
5 + -3x = 1

Add '-5' to each side of the equation.
5 + -5 + -3x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 1 + -5
-3x = 1 + -5

Combine like terms: 1 + -5 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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