4*x+1=2*x-1

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Solution for 4*x+1=2*x-1 equation: 


Simplifying
4x + 1 = 2x + -1

Reorder the terms:
1 + 4x = 2x + -1

Reorder the terms:
1 + 4x = -1 + 2x

Solving
1 + 4x = -1 + 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 + 4x + -2x = -1 + 2x + -2x

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

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

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

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

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

Divide each side by '2'.
x = -1

Simplifying
x = -1

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