Solve 8m-(m+1)=4m-(-5m+3)

$$8 m - ( m + 1 ) = 4 m - ( - 5 m + 3 )$$

Solve for m

$$m=1$$

Steps for Solving Linear Equation

To find the opposite of m+1, find the opposite of each term.

$$8m-m-1=4m-\left(-5m+3\right)$$

Combine 8m and -m to get 7m.

$$7m-1=4m-\left(-5m+3\right)$$

To find the opposite of -5m+3, find the opposite of each term.

$$7m-1=4m-\left(-5m\right)-3$$

The opposite of -5m is 5m.

$$7m-1=4m+5m-3$$

Combine 4m and 5m to get 9m.

$$7m-1=9m-3$$

Subtract 9m from both sides.

$$7m-1-9m=-3$$

Combine 7m and -9m to get -2m.

$$-2m-1=-3$$

Add 1 to both sides.

$$-2m=-3+1$$

Add -3 and 1 to get -2.

$$-2m=-2$$

Divide both sides by -2.

$$m=\frac{-2}{-2}$$

Divide -2 by -2 to get 1.

$$m=1$$