Solve 4x-3/5=2x-7/8

$$\frac { 4 x - 3 } { 5 } = \frac { 2 x - 7 } { 8 }$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 5,8.

$$8\left(4x-3\right)=5\left(2x-7\right)$$

Use the distributive property to multiply 8 by 4x-3.

$$32x-24=5\left(2x-7\right)$$

Use the distributive property to multiply 5 by 2x-7.

$$32x-24=10x-35$$

Subtract 10x from both sides.

$$32x-24-10x=-35$$

Combine 32x and -10x to get 22x.

$$22x-24=-35$$

Add 24 to both sides.

$$22x=-35+24$$

Add -35 and 24 to get -11.

$$22x=-11$$

Divide both sides by 22.

$$x=\frac{-11}{22}$$

Reduce the fraction \frac{-11}{22} to lowest terms by extracting and canceling out 11.

$$x=-\frac{1}{2}$$