Solve 6-x/4-3x+10/3=2

$$\frac { 6 - x } { 4 } - \frac { 3 x + 10 } { 3 } = 2$$

Solve for x

$$x = -\frac{46}{15} = -3\frac{1}{15} \approx -3.066666667$$

Steps for Solving Linear Equation

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

$$3\left(6-x\right)-4\left(3x+10\right)=24$$

Use the distributive property to multiply 3 by 6-x.

$$18-3x-4\left(3x+10\right)=24$$

Use the distributive property to multiply -4 by 3x+10.

$$18-3x-12x-40=24$$

Combine -3x and -12x to get -15x.

$$18-15x-40=24$$

Subtract 40 from 18 to get -22.

$$-22-15x=24$$

Add 22 to both sides.

$$-15x=24+22$$

Add 24 and 22 to get 46.

$$-15x=46$$

Divide both sides by -15.

$$x=\frac{46}{-15}$$

Fraction \frac{46}{-15} can be rewritten as -\frac{46}{15} by extracting the negative sign.

$$x=-\frac{46}{15}$$