12m-8=13m+5(-11m+20)

Simple and best practice solution for 12m-8=13m+5(-11m+20) 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 12m-8=13m+5(-11m+20) equation:


Simplifying
12m + -8 = 13m + 5(-11m + 20)

Reorder the terms:
-8 + 12m = 13m + 5(-11m + 20)

Reorder the terms:
-8 + 12m = 13m + 5(20 + -11m)
-8 + 12m = 13m + (20 * 5 + -11m * 5)
-8 + 12m = 13m + (100 + -55m)

Reorder the terms:
-8 + 12m = 100 + 13m + -55m

Combine like terms: 13m + -55m = -42m
-8 + 12m = 100 + -42m

Solving
-8 + 12m = 100 + -42m

Solving for variable 'm'.

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

Add '42m' to each side of the equation.
-8 + 12m + 42m = 100 + -42m + 42m

Combine like terms: 12m + 42m = 54m
-8 + 54m = 100 + -42m + 42m

Combine like terms: -42m + 42m = 0
-8 + 54m = 100 + 0
-8 + 54m = 100

Add '8' to each side of the equation.
-8 + 8 + 54m = 100 + 8

Combine like terms: -8 + 8 = 0
0 + 54m = 100 + 8
54m = 100 + 8

Combine like terms: 100 + 8 = 108
54m = 108

Divide each side by '54'.
m = 2

Simplifying
m = 2

See similar equations:

| 2(2x+1)-3(x-2)=-x+6 | | 6.28(4)(h)=80 | | 256=(4+x)(2+x) | | 7x-6=3x-66 | | 5x(x^3-8)=0 | | 500+30x=20000 | | 8p-2=4p+10 | | 2(x+z)-y= | | 5/10=11/5x | | -6x=18-2y | | 21/32×2 | | 1+5v=7+5v | | -5.4z=-32.7 | | y=18x-38 | | 24x+5+20x-4=180 | | 2.5n+(3)=-13 | | 7x+5=59-2x | | 2v-3=-9 | | .5x+2=-2x-3 | | x/5=25/90 | | .5x+2=-2-3 | | -2x^2+6x-17=0 | | 13y+5x+7n= | | 3w=15w+24 | | 14x-10=12x-4 | | X+(3x+8)=90 | | 324=(6+x)(3+x) | | https://es.khanacademy.org/math/algebra/one-variable-linear-equations/alg1-one-step-mult-div-equations/e/linear_equations_1 | | x/3=4/8 | | 2x^2-4x+4=8 | | 432=(x+4)(x-2) | | w/3=4/8 |

Equations solver categories