Solve -3/5+5x/4=2x+1/2

$$- \frac { 3 } { 5 } + \frac { 5 x } { 4 } = 2 x + \frac { 1 } { 2 }$$

Solve for x

$$x = -\frac{22}{15} = -1\frac{7}{15} \approx -1.466666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4,2.

$$-12+5\times 5x=40x+10$$

Multiply 5 and 5 to get 25.

$$-12+25x=40x+10$$

Subtract 40x from both sides.

$$-12+25x-40x=10$$

Combine 25x and -40x to get -15x.

$$-12-15x=10$$

Add 12 to both sides.

$$-15x=10+12$$

Add 10 and 12 to get 22.

$$-15x=22$$

Divide both sides by -15.

$$x=\frac{22}{-15}$$

Fraction \frac{22}{-15} can be rewritten as -\frac{22}{15} by extracting the negative sign.

$$x=-\frac{22}{15}$$