Solve 8x+3/8=x-3/10

$$\frac { 8 x + 3 } { 8 } = \frac { x - 3 } { 10 }$$

Solve for x

$$x=-\frac{3}{4}=-0.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 8,10.

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

Use the distributive property to multiply 5 by 8x+3.

$$40x+15=4\left(x-3\right)$$

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

$$40x+15=4x-12$$

Subtract 4x from both sides.

$$40x+15-4x=-12$$

Combine 40x and -4x to get 36x.

$$36x+15=-12$$

Subtract 15 from both sides.

$$36x=-12-15$$

Subtract 15 from -12 to get -27.

$$36x=-27$$

Divide both sides by 36.

$$x=\frac{-27}{36}$$

Reduce the fraction \frac{-27}{36} to lowest terms by extracting and canceling out 9.

$$x=-\frac{3}{4}$$