4x+3-x=3x(x+1)

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Solution for 4x+3-x=3x(x+1) equation: 


Simplifying
4x + 3 + -1x = 3x(x + 1)

Reorder the terms:
3 + 4x + -1x = 3x(x + 1)

Combine like terms: 4x + -1x = 3x
3 + 3x = 3x(x + 1)

Reorder the terms:
3 + 3x = 3x(1 + x)
3 + 3x = (1 * 3x + x * 3x)
3 + 3x = (3x + 3x2)

Add '-3x' to each side of the equation.
3 + 3x + -3x = 3x + -3x + 3x2

Combine like terms: 3x + -3x = 0
3 + 0 = 3x + -3x + 3x2
3 = 3x + -3x + 3x2

Combine like terms: 3x + -3x = 0
3 = 0 + 3x2
3 = 3x2

Solving
3 = 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
3 + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
3 + -3x2 = 0

Add '-3' to each side of the equation.
3 + -3 + -3x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3x2 = 0 + -3
-3x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-3x2 = -3

Divide each side by '-3'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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