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

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

Solve for x

$$x = -\frac{75}{7} = -10\frac{5}{7} \approx -10.714285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(5x-3\right)+96=4\left(2x+3\right)$$

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

$$15x-9+96=4\left(2x+3\right)$$

Add -9 and 96 to get 87.

$$15x+87=4\left(2x+3\right)$$

Use the distributive property to multiply 4 by 2x+3.

$$15x+87=8x+12$$

Subtract 8x from both sides.

$$15x+87-8x=12$$

Combine 15x and -8x to get 7x.

$$7x+87=12$$

Subtract 87 from both sides.

$$7x=12-87$$

Subtract 87 from 12 to get -75.

$$7x=-75$$

Divide both sides by 7.

$$x=\frac{-75}{7}$$

Fraction \frac{-75}{7} can be rewritten as -\frac{75}{7} by extracting the negative sign.

$$x=-\frac{75}{7}$$