Solve m-2(m+1)-3(m-1)=2(1-4m)

$$m - 2 ( m + 1 ) - 3 ( m - 1 ) = 2 ( 1 - 4 m )$$

Solve for m

$$m=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by m+1.

$$m-2m-2-3\left(m-1\right)=2\left(1-4m\right)$$

Combine m and -2m to get -m.

$$-m-2-3\left(m-1\right)=2\left(1-4m\right)$$

Use the distributive property to multiply -3 by m-1.

$$-m-2-3m+3=2\left(1-4m\right)$$

Combine -m and -3m to get -4m.

$$-4m-2+3=2\left(1-4m\right)$$

Add -2 and 3 to get 1.

$$-4m+1=2\left(1-4m\right)$$

Use the distributive property to multiply 2 by 1-4m.

$$-4m+1=2-8m$$

Add 8m to both sides.

$$-4m+1+8m=2$$

Combine -4m and 8m to get 4m.

$$4m+1=2$$

Subtract 1 from both sides.

$$4m=2-1$$

Subtract 1 from 2 to get 1.

$$4m=1$$

Divide both sides by 4.

$$m=\frac{1}{4}$$