-2(m-9)+3(8m+8)=21(m+1)+3

Simple and best practice solution for -2(m-9)+3(8m+8)=21(m+1)+3 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 -2(m-9)+3(8m+8)=21(m+1)+3 equation:


Simplifying
-2(m + -9) + 3(8m + 8) = 21(m + 1) + 3

Reorder the terms:
-2(-9 + m) + 3(8m + 8) = 21(m + 1) + 3
(-9 * -2 + m * -2) + 3(8m + 8) = 21(m + 1) + 3
(18 + -2m) + 3(8m + 8) = 21(m + 1) + 3

Reorder the terms:
18 + -2m + 3(8 + 8m) = 21(m + 1) + 3
18 + -2m + (8 * 3 + 8m * 3) = 21(m + 1) + 3
18 + -2m + (24 + 24m) = 21(m + 1) + 3

Reorder the terms:
18 + 24 + -2m + 24m = 21(m + 1) + 3

Combine like terms: 18 + 24 = 42
42 + -2m + 24m = 21(m + 1) + 3

Combine like terms: -2m + 24m = 22m
42 + 22m = 21(m + 1) + 3

Reorder the terms:
42 + 22m = 21(1 + m) + 3
42 + 22m = (1 * 21 + m * 21) + 3
42 + 22m = (21 + 21m) + 3

Reorder the terms:
42 + 22m = 21 + 3 + 21m

Combine like terms: 21 + 3 = 24
42 + 22m = 24 + 21m

Solving
42 + 22m = 24 + 21m

Solving for variable 'm'.

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

Add '-21m' to each side of the equation.
42 + 22m + -21m = 24 + 21m + -21m

Combine like terms: 22m + -21m = 1m
42 + 1m = 24 + 21m + -21m

Combine like terms: 21m + -21m = 0
42 + 1m = 24 + 0
42 + 1m = 24

Add '-42' to each side of the equation.
42 + -42 + 1m = 24 + -42

Combine like terms: 42 + -42 = 0
0 + 1m = 24 + -42
1m = 24 + -42

Combine like terms: 24 + -42 = -18
1m = -18

Divide each side by '1'.
m = -18

Simplifying
m = -18

See similar equations:

| (5n+6)(5n-5)= | | 138-3x=42x-23 | | 5z-2=2z-5 | | 7(x-3)=-6x | | 3x-10=11x-50 | | -81+5y=-6y+102 | | 7x-3=39 | | 5(x-12)=27 | | 5x+14=-103-8x | | 47+x*x=96 | | (3m-1)(8m+7)= | | 7x-21=-6x | | 8y+5=9y+10 | | 9x+13=49 | | 200x+1400=50400 | | 0.9x-1.6=3.7x+6.8 | | 6+10x=52+x | | 6+10x=52x | | 5(3-4x)=7-(4-x) | | 2x+27=12x-73 | | x*12-24=12 | | (-4xy^3)(-2x^2)= | | 2w-8=8 | | 2w-4(w+2)=5(w+4) | | 6-2(2)=2 | | 3p+20=50 | | (-5m^3)(3m^8)= | | 6-2y=2 | | 8y-5y-26=32+22-5y | | 5x+25x=30 | | (8p-2)(6p+2)= | | 78=2l+2w |

Equations solver categories