Solve 253(0.1m+10.1)-141+7(0.5m+10.17)=2m

$$253 ( 0.1 m + 10.1 ) - 141 + 7 ( 0.5 m + 10.17 ) = 2 m$$

Solve for m

$$m = -\frac{248549}{2680} = -92\frac{1989}{2680} \approx -92.742164179$$

Steps for Solving Linear Equation

Use the distributive property to multiply 253 by 0.1m+10.1.

$$25.3m+2555.3-141+7\left(0.5m+10.17\right)=2m$$

Subtract 141 from 2555.3 to get 2414.3.

$$25.3m+2414.3+7\left(0.5m+10.17\right)=2m$$

Use the distributive property to multiply 7 by 0.5m+10.17.

$$25.3m+2414.3+3.5m+71.19=2m$$

Combine 25.3m and 3.5m to get 28.8m.

$$28.8m+2414.3+71.19=2m$$

Add 2414.3 and 71.19 to get 2485.49.

$$28.8m+2485.49=2m$$

Subtract 2m from both sides.

$$28.8m+2485.49-2m=0$$

Combine 28.8m and -2m to get 26.8m.

$$26.8m+2485.49=0$$

Subtract 2485.49 from both sides. Anything subtracted from zero gives its negation.

$$26.8m=-2485.49$$

Divide both sides by 26.8.

$$m=\frac{-2485.49}{26.8}$$

Expand \frac{-2485.49}{26.8} by multiplying both numerator and the denominator by 100.

$$m=\frac{-248549}{2680}$$

Fraction \frac{-248549}{2680} can be rewritten as -\frac{248549}{2680} by extracting the negative sign.

$$m=-\frac{248549}{2680}$$