x+3=4x-2

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


Simplifying
x + 3 = 4x + -2

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

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

Solving
3 + x = -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.
3 + x + -4x = -2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
3 + -3x = -2 + 0
3 + -3x = -2

Add '-3' to each side of the equation.
3 + -3 + -3x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -2 + -3
-3x = -2 + -3

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

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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