2x+1=3x+5

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


Simplifying
2x + 1 = 3x + 5

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

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

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

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

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

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

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

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

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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