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

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

Solve for x

$$x = -\frac{17}{5} = -3\frac{2}{5} = -3.4$$

Steps for Solving Linear Equation

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

$$5\times 3x-12=4\times 5x+5$$

Multiply 5 and 3 to get 15.

$$15x-12=4\times 5x+5$$

Multiply 4 and 5 to get 20.

$$15x-12=20x+5$$

Subtract 20x from both sides.

$$15x-12-20x=5$$

Combine 15x and -20x to get -5x.

$$-5x-12=5$$

Add 12 to both sides.

$$-5x=5+12$$

Add 5 and 12 to get 17.

$$-5x=17$$

Divide both sides by -5.

$$x=\frac{17}{-5}$$

Fraction \frac{17}{-5} can be rewritten as -\frac{17}{5} by extracting the negative sign.

$$x=-\frac{17}{5}$$