(5x+1)=2x+3

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


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

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

Remove parenthesis around (1 + 5x)
1 + 5x = 2x + 3

Reorder the terms:
1 + 5x = 3 + 2x

Solving
1 + 5x = 3 + 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.
1 + 5x + -2x = 3 + 2x + -2x

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

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

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

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

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

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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