22+3(a+6)=4(3a+5)

Simple and best practice solution for 22+3(a+6)=4(3a+5) 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 22+3(a+6)=4(3a+5) equation: 


Simplifying
22 + 3(a + 6) = 4(3a + 5)

Reorder the terms:
22 + 3(6 + a) = 4(3a + 5)
22 + (6 * 3 + a * 3) = 4(3a + 5)
22 + (18 + 3a) = 4(3a + 5)

Combine like terms: 22 + 18 = 40
40 + 3a = 4(3a + 5)

Reorder the terms:
40 + 3a = 4(5 + 3a)
40 + 3a = (5 * 4 + 3a * 4)
40 + 3a = (20 + 12a)

Solving
40 + 3a = 20 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
40 + 3a + -12a = 20 + 12a + -12a

Combine like terms: 3a + -12a = -9a
40 + -9a = 20 + 12a + -12a

Combine like terms: 12a + -12a = 0
40 + -9a = 20 + 0
40 + -9a = 20

Add '-40' to each side of the equation.
40 + -40 + -9a = 20 + -40

Combine like terms: 40 + -40 = 0
0 + -9a = 20 + -40
-9a = 20 + -40

Combine like terms: 20 + -40 = -20
-9a = -20

Divide each side by '-9'.
a = 2.222222222

Simplifying
a = 2.222222222

See similar equations:

| 108x5/12 | | -9x^3+24x^10=equation | | 3(4+4g)=12g+12 | | (-9)+7= | | X/2=7/10 | | 5(-9a+8b)-8(-6a+3b)-2=X | | y^2+4y^1+6xy=0 | | f(x)=10x+1+x(-9x+3) | | 5+3*7+(5-3)^2/(7-3) | | 3x^2=6+3x | | x+(x*0.19)=41 | | (0.216)-2/3 | | x+2+15=105 | | 7+4n=(5n-1) | | x/2-1=30 | | x-2+x-2=6(x-3) | | 3x+2-2x+8=7 | | 20+8a=3a-5(7a+4) | | X+4/5-8=4 | | x-4/3+3=5x/8 | | 5/4x3 | | 20m-24= | | -56=14m | | 99=-6-7(1-4v) | | 1/2x+3/4=5/8 | | -((4)/(y-3))=7 | | x+2*8=40 | | 7(5j+e+6q)= | | 9.67-x=8 | | 132=-6(7x+6) | | 9.67-x=6.9 | | 9.67-x=7.21 |

Equations solver categories