Solve 2(2-m)-6m+8=2-m+1/3-2m

$$2 ( 2 - m ) - 6 m + 8 = \frac { 2 - m + 1 } { 3 } - 2 m$$

Solve for m

$$m = \frac{33}{17} = 1\frac{16}{17} \approx 1.941176471$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$6\left(2-m\right)-18m+24=2-m+1-6m$$

Use the distributive property to multiply 6 by 2-m.

$$12-6m-18m+24=2-m+1-6m$$

Combine -6m and -18m to get -24m.

$$12-24m+24=2-m+1-6m$$

Add 12 and 24 to get 36.

$$36-24m=2-m+1-6m$$

Add 2 and 1 to get 3.

$$36-24m=3-m-6m$$

Combine -m and -6m to get -7m.

$$36-24m=3-7m$$

Add 7m to both sides.

$$36-24m+7m=3$$

Combine -24m and 7m to get -17m.

$$36-17m=3$$

Subtract 36 from both sides.

$$-17m=3-36$$

Subtract 36 from 3 to get -33.

$$-17m=-33$$

Divide both sides by -17.

$$m=\frac{-33}{-17}$$

Fraction \frac{-33}{-17} can be simplified to \frac{33}{17} by removing the negative sign from both the numerator and the denominator.

$$m=\frac{33}{17}$$