2(x-1)(x+3)=x(2x-1)+4

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

Simplifying
2(x + -1)(x + 3) = x(2x + -1) + 4

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

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

Multiply (-1 + x) * (3 + x)
2(-1(3 + x) + x(3 + x)) = x(2x + -1) + 4
2((3 * -1 + x * -1) + x(3 + x)) = x(2x + -1) + 4
2((-3 + -1x) + x(3 + x)) = x(2x + -1) + 4
2(-3 + -1x + (3 * x + x * x)) = x(2x + -1) + 4
2(-3 + -1x + (3x + x2)) = x(2x + -1) + 4

Combine like terms: -1x + 3x = 2x
2(-3 + 2x + x2) = x(2x + -1) + 4
(-3 * 2 + 2x * 2 + x2 * 2) = x(2x + -1) + 4
(-6 + 4x + 2x2) = x(2x + -1) + 4

Reorder the terms:
-6 + 4x + 2x2 = x(-1 + 2x) + 4
-6 + 4x + 2x2 = (-1 * x + 2x * x) + 4
-6 + 4x + 2x2 = (-1x + 2x2) + 4

Reorder the terms:
-6 + 4x + 2x2 = 4 + -1x + 2x2

Add '-2x2' to each side of the equation.
-6 + 4x + 2x2 + -2x2 = 4 + -1x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6 + 4x + 0 = 4 + -1x + 2x2 + -2x2
-6 + 4x = 4 + -1x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6 + 4x = 4 + -1x + 0
-6 + 4x = 4 + -1x

Solving
-6 + 4x = 4 + -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.
-6 + 4x + x = 4 + -1x + x

Combine like terms: 4x + x = 5x
-6 + 5x = 4 + -1x + x

Combine like terms: -1x + x = 0
-6 + 5x = 4 + 0
-6 + 5x = 4

Add '6' to each side of the equation.
-6 + 6 + 5x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 4 + 6
5x = 4 + 6

Combine like terms: 4 + 6 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2