10(1+2m)+4=-9(5-4m)+11

Simple and best practice solution for 10(1+2m)+4=-9(5-4m)+11 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 10(1+2m)+4=-9(5-4m)+11 equation: 


Simplifying
10(1 + 2m) + 4 = -9(5 + -4m) + 11
(1 * 10 + 2m * 10) + 4 = -9(5 + -4m) + 11
(10 + 20m) + 4 = -9(5 + -4m) + 11

Reorder the terms:
10 + 4 + 20m = -9(5 + -4m) + 11

Combine like terms: 10 + 4 = 14
14 + 20m = -9(5 + -4m) + 11
14 + 20m = (5 * -9 + -4m * -9) + 11
14 + 20m = (-45 + 36m) + 11

Reorder the terms:
14 + 20m = -45 + 11 + 36m

Combine like terms: -45 + 11 = -34
14 + 20m = -34 + 36m

Solving
14 + 20m = -34 + 36m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-36m' to each side of the equation.
14 + 20m + -36m = -34 + 36m + -36m

Combine like terms: 20m + -36m = -16m
14 + -16m = -34 + 36m + -36m

Combine like terms: 36m + -36m = 0
14 + -16m = -34 + 0
14 + -16m = -34

Add '-14' to each side of the equation.
14 + -14 + -16m = -34 + -14

Combine like terms: 14 + -14 = 0
0 + -16m = -34 + -14
-16m = -34 + -14

Combine like terms: -34 + -14 = -48
-16m = -48

Divide each side by '-16'.
m = 3

Simplifying
m = 3

See similar equations:

| 8+2d+5d+9= | | 2x+9=6x+-3 | | 2(18-4x)=12 | | 3(2x)+17-4x-x=175 | | Y-2=-3/4(x-2) | | 16x=270-14x | | 3x^2-11=13 | | 7x+5x+3x+4x= | | 9n+3n=9.6 | | 28x-33x=6-11 | | 32.5/25=97.5 | | Y-6=-4(x-2) | | 14b+6=7b+21 | | 49+4x=41-6x | | -5+14= | | x/x-2+2x=1 | | 4298.66=4*3.14*r^2 | | 5/7-1/5 | | 3x-1=2(x+4) | | 12x^2-5x=5 | | 5x^2-6x-56=0 | | 3+9-19m+16m= | | 10+(5x+y)=76 | | 3(4d+1)-9b=8(2-d) | | X^2=2x^2+8 | | 12x-5x=5 | | 3/5x=22 | | 8490.56=4*3.14*r^2 | | -7+20=m-8 | | 48=15+6(4)+6(x)-3x | | 6+18r-18=4+30r | | (x^2-20)+(10x)= |

Equations solver categories