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

Evaluate

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

Multiply both sides of the equation by LCD

(\frac{5 x + 3}{4} + \frac{8 - x}{4}) \times 4 = 2 x \times 4

Simplify the equation

More Steps

4 x + 11 = 2 x \times 4

Simplify the equation

4 x + 11 = 8 x

Move the variable to the left side

4 x + 11 - 8 x = 0

Subtract the terms

More Steps

- 4 x + 11 = 0

Move the constant to the right side

- 4 x = 0 - 11

Removing 0 doesn't change the value,so remove it from the expression

- 4 x = - 11

Change the signs on both sides of the equation

4 x = 11

Divide both sides

\frac{4 x}{4} = \frac{11}{4}

Solution

x = \frac{11}{4}

Alternative Form

x = 2.75

(5x+3)/4 + (8 X)/4 = 2x