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

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


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

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

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

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

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

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

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

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

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-2 + 5x + x = -1 + -1x + x

Combine like terms: 5x + x = 6x
-2 + 6x = -1 + -1x + x

Combine like terms: -1x + x = 0
-2 + 6x = -1 + 0
-2 + 6x = -1

Add '2' to each side of the equation.
-2 + 2 + 6x = -1 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = -1 + 2
6x = -1 + 2

Combine like terms: -1 + 2 = 1
6x = 1

Divide each side by '6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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