Solve 5x+3/6=144-5x/8

$$\frac { 5 x + 3 } { 6 } = \frac { 144 - 5 x } { 8 }$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 6,8.

$$4\left(5x+3\right)=3\left(144-5x\right)$$

Use the distributive property to multiply 4 by 5x+3.

$$20x+12=3\left(144-5x\right)$$

Use the distributive property to multiply 3 by 144-5x.

$$20x+12=432-15x$$

Add 15x to both sides.

$$20x+12+15x=432$$

Combine 20x and 15x to get 35x.

$$35x+12=432$$

Subtract 12 from both sides.

$$35x=432-12$$

Subtract 12 from 432 to get 420.

$$35x=420$$

Divide both sides by 35.

$$x=\frac{420}{35}$$

Divide 420 by 35 to get 12.

$$x=12$$