Solve 3/4(7x-1)-(2x-1-x/2)=x+3/2

Question

Solve the equation

x = \frac{5}{11}

Alternative Form

x = 0. \dot{4} \dot{5}

Evaluate

\frac{3}{4} (7 x - 1) - (2 x - 1 - \frac{x}{2}) = x + \frac{3}{2}

Simplify

More Steps

\frac{13}{4} x + \frac{1}{4} + \frac{x}{2} = x + \frac{3}{2}

Multiply both sides of the equation by LCD

(\frac{13}{4} x + \frac{1}{4} + \frac{x}{2}) \times 4 = (x + \frac{3}{2}) \times 4

Simplify the equation

More Steps

15 x + 1 = (x + \frac{3}{2}) \times 4

Simplify the equation

More Steps

15 x + 1 = 4 x + 6

Move the expression to the left side

15 x + 1 - 4 x = 6

Move the expression to the right side

15 x - 4 x = 6 - 1

Add and subtract

More Steps

11 x = 6 - 1

Add and subtract

11 x = 5

Divide both sides

\frac{11 x}{11} = \frac{5}{11}

Solution

x = \frac{5}{11}

Alternative Form

x = 0. \dot{4} \dot{5}

Show Solution

11 x = 5

Show Solution