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

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

Solve for x

$$x = -\frac{32}{3} = -10\frac{2}{3} \approx -10.666666667$$

Steps for Solving Linear Equation

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

$$3\times 3x-8=12x+24$$

Multiply 3 and 3 to get 9.

$$9x-8=12x+24$$

Subtract 12x from both sides.

$$9x-8-12x=24$$

Combine 9x and -12x to get -3x.

$$-3x-8=24$$

Add 8 to both sides.

$$-3x=24+8$$

Add 24 and 8 to get 32.

$$-3x=32$$

Divide both sides by -3.

$$x=\frac{32}{-3}$$

Fraction \frac{32}{-3} can be rewritten as -\frac{32}{3} by extracting the negative sign.

$$x=-\frac{32}{3}$$