Solve (x+4)(-1+2x)=6+2x^2-6x

$$( x + 4 ) ( - 1 + 2 x ) = 6 + 2 x ^ { 2 } - 6 x$$

Solve for x

$$x=\frac{10}{13}\approx 0.769230769$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+4 by -1+2x and combine like terms.

$$7x+2x^{2}-4=6+2x^{2}-6x$$

Subtract 2x^{2} from both sides.

$$7x+2x^{2}-4-2x^{2}=6-6x$$

Combine 2x^{2} and -2x^{2} to get 0.

$$7x-4=6-6x$$

Add 6x to both sides.

$$7x-4+6x=6$$

Combine 7x and 6x to get 13x.

$$13x-4=6$$

Add 4 to both sides.

$$13x=6+4$$

Add 6 and 4 to get 10.

$$13x=10$$

Divide both sides by 13.

$$x=\frac{10}{13}$$