Solve e5x+1/8+3=3x+1/2

$$e \frac { 5 x + 1 } { 8 } + 3 = \frac { 3 x + 1 } { 2 }$$

Solve for x

$$x=-\frac{e+20}{5e-12}\approx -14.275575793$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 8,2.

$$e\left(5x+1\right)+24=4\left(3x+1\right)$$

Use the distributive property to multiply e by 5x+1.

$$5ex+e+24=4\left(3x+1\right)$$

Use the distributive property to multiply 4 by 3x+1.

$$5ex+e+24=12x+4$$

Subtract 12x from both sides.

$$5ex+e+24-12x=4$$

Subtract e from both sides.

$$5ex+24-12x=4-e$$

Subtract 24 from both sides.

$$5ex-12x=4-e-24$$

Subtract 24 from 4 to get -20.

$$5ex-12x=-20-e$$

Combine all terms containing x.

$$\left(5e-12\right)x=-20-e$$

The equation is in standard form.

$$\left(5e-12\right)x=-e-20$$

Divide both sides by 5e-12.

$$\frac{\left(5e-12\right)x}{5e-12}=\frac{-e-20}{5e-12}$$

Dividing by 5e-12 undoes the multiplication by 5e-12.

$$x=\frac{-e-20}{5e-12}$$

Divide -20-e by 5e-12.

$$x=-\frac{e+20}{5e-12}$$