Solve (5x-7)(2x+1)=10x(x-4)

$$( 5 x - 7 ) ( 2 x + 1 ) = 10 x ( x - 4 )$$

Solve for x

$$x=\frac{7}{31}\approx 0.225806452$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5x-7 by 2x+1 and combine like terms.

$$10x^{2}-9x-7=10x\left(x-4\right)$$

Use the distributive property to multiply 10x by x-4.

$$10x^{2}-9x-7=10x^{2}-40x$$

Subtract 10x^{2} from both sides.

$$10x^{2}-9x-7-10x^{2}=-40x$$

Combine 10x^{2} and -10x^{2} to get 0.

$$-9x-7=-40x$$

Add 40x to both sides.

$$-9x-7+40x=0$$

Combine -9x and 40x to get 31x.

$$31x-7=0$$

Add 7 to both sides. Anything plus zero gives itself.

$$31x=7$$

Divide both sides by 31.

$$x=\frac{7}{31}$$