5x+6=2x+1

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Solution for 5x+6=2x+1 equation:


Simplifying
5x + 6 = 2x + 1

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

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

Solving
6 + 5x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 5x + -2x = 1 + 2x + -2x

Combine like terms: 5x + -2x = 3x
6 + 3x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 3x = 1 + 0
6 + 3x = 1

Add '-6' to each side of the equation.
6 + -6 + 3x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 1 + -6
3x = 1 + -6

Combine like terms: 1 + -6 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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