Solve (2x-3)(x+1)+x(5-2x)=7x

$$( 2 x - 3 ) ( x + 1 ) + x ( 5 - 2 x ) = 7 x$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2x-3 by x+1 and combine like terms.

$$2x^{2}-x-3+x\left(5-2x\right)=7x$$

Use the distributive property to multiply x by 5-2x.

$$2x^{2}-x-3+5x-2x^{2}=7x$$

Combine -x and 5x to get 4x.

$$2x^{2}+4x-3-2x^{2}=7x$$

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

$$4x-3=7x$$

Subtract 7x from both sides.

$$4x-3-7x=0$$

Combine 4x and -7x to get -3x.

$$-3x-3=0$$

Add 3 to both sides. Anything plus zero gives itself.

$$-3x=3$$

Divide both sides by -3.

$$x=\frac{3}{-3}$$

Divide 3 by -3 to get -1.

$$x=-1$$