2x+1=3x-5x

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


Simplifying
2x + 1 = 3x + -5x

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

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

Solving
1 + 2x = -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 + 2x + 2x = -2x + 2x

Combine like terms: 2x + 2x = 4x
1 + 4x = -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 4x = 0

Add '-1' to each side of the equation.
1 + -1 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25

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