3x+1=5x+2

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


Simplifying
3x + 1 = 5x + 2

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

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

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

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

Combine like terms: 5x + -5x = 0
1 + -2x = 2 + 0
1 + -2x = 2

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

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

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

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

Simplifying
x = -0.5

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