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

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


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

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

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

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

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

Solving
2 + 5x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 5x + -3x = 1 + 3x + -3x

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

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

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

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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