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

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

Solve for x

$$x = \frac{30}{7} = 4\frac{2}{7} \approx 4.285714286$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,4,8.

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

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

$$12x-20=2\left(5+3x\right)-x$$

Use the distributive property to multiply 2 by 5+3x.

$$12x-20=10+6x-x$$

Subtract 6x from both sides.

$$12x-20-6x=10-x$$

Combine 12x and -6x to get 6x.

$$6x-20=10-x$$

Add x to both sides.

$$6x-20+x=10$$

Combine 6x and x to get 7x.

$$7x-20=10$$

Add 20 to both sides.

$$7x=10+20$$

Add 10 and 20 to get 30.

$$7x=30$$

Divide both sides by 7.

$$x=\frac{30}{7}$$