Solve 3+5x/5=4-x/8

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

Solve for x

$$x=-\frac{4}{45}\approx -0.088888889$$

Steps for Solving Linear Equation

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

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

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

$$24+40x=5\left(4-x\right)$$

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

$$24+40x=20-5x$$

Add 5x to both sides.

$$24+40x+5x=20$$

Combine 40x and 5x to get 45x.

$$24+45x=20$$

Subtract 24 from both sides.

$$45x=20-24$$

Subtract 24 from 20 to get -4.

$$45x=-4$$

Divide both sides by 45.

$$x=\frac{-4}{45}$$

Fraction \frac{-4}{45} can be rewritten as -\frac{4}{45} by extracting the negative sign.

$$x=-\frac{4}{45}$$