Solve 5(4x-5)=15(10x-5)

$$5(4x-5)=15(10x-5)$$

Solve for x

$$x=\frac{5}{13}\approx 0.384615385$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 4x-5.

$$20x-25=15\left(10x-5\right)$$

Use the distributive property to multiply 15 by 10x-5.

$$20x-25=150x-75$$

Subtract 150x from both sides.

$$20x-25-150x=-75$$

Combine 20x and -150x to get -130x.

$$-130x-25=-75$$

Add 25 to both sides.

$$-130x=-75+25$$

Add -75 and 25 to get -50.

$$-130x=-50$$

Divide both sides by -130.

$$x=\frac{-50}{-130}$$

Reduce the fraction \frac{-50}{-130} to lowest terms by extracting and canceling out -10.

$$x=\frac{5}{13}$$