Solve 4x/3-57x+3/4=2x

$$\frac { 4 x } { 3 } - 5 \frac { 7 x + 3 } { 4 } = 2 x$$

Solve for x

$$x=-\frac{45}{113}\approx -0.398230088$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\times 4x-15\left(7x+3\right)=24x$$

Multiply 4 and 4 to get 16.

$$16x-15\left(7x+3\right)=24x$$

Use the distributive property to multiply -15 by 7x+3.

$$16x-105x-45=24x$$

Combine 16x and -105x to get -89x.

$$-89x-45=24x$$

Subtract 24x from both sides.

$$-89x-45-24x=0$$

Combine -89x and -24x to get -113x.

$$-113x-45=0$$

Add 45 to both sides. Anything plus zero gives itself.

$$-113x=45$$

Divide both sides by -113.

$$x=\frac{45}{-113}$$

Fraction \frac{45}{-113} can be rewritten as -\frac{45}{113} by extracting the negative sign.

$$x=-\frac{45}{113}$$