5x+1=4x-2

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


Simplifying
5x + 1 = 4x + -2

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

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

Solving
1 + 5x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + 5x + -4x = -2 + 4x + -4x

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

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

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

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

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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