1+4*x-2=-3x+5*x+1

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Solution for 1+4*x-2=-3x+5*x+1 equation: 


Simplifying
1 + 4x + -2 = -3x + 5x + 1

Reorder the terms:
1 + -2 + 4x = -3x + 5x + 1

Combine like terms: 1 + -2 = -1
-1 + 4x = -3x + 5x + 1

Reorder the terms:
-1 + 4x = 1 + -3x + 5x

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