Solve 2m+1-5m=8m-23(7+4m)

$$2 m + 1 - 5 m = 8 m - 23 ( 7 + 4 m )$$

Solve for m

$$m=-2$$

Steps for Solving Linear Equation

Combine 2m and -5m to get -3m.

$$-3m+1=8m-23\left(7+4m\right)$$

Use the distributive property to multiply -23 by 7+4m.

$$-3m+1=8m-161-92m$$

Combine 8m and -92m to get -84m.

$$-3m+1=-84m-161$$

Add 84m to both sides.

$$-3m+1+84m=-161$$

Combine -3m and 84m to get 81m.

$$81m+1=-161$$

Subtract 1 from both sides.

$$81m=-161-1$$

Subtract 1 from -161 to get -162.

$$81m=-162$$

Divide both sides by 81.

$$m=\frac{-162}{81}$$

Divide -162 by 81 to get -2.

$$m=-2$$