10.5a+3(a-8)=9-4(a-2)

Simple and best practice solution for 10.5a+3(a-8)=9-4(a-2) 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 10.5a+3(a-8)=9-4(a-2) equation:


Simplifying
10.5a + 3(a + -8) = 9 + -4(a + -2)

Reorder the terms:
10.5a + 3(-8 + a) = 9 + -4(a + -2)
10.5a + (-8 * 3 + a * 3) = 9 + -4(a + -2)
10.5a + (-24 + 3a) = 9 + -4(a + -2)

Reorder the terms:
-24 + 10.5a + 3a = 9 + -4(a + -2)

Combine like terms: 10.5a + 3a = 13.5a
-24 + 13.5a = 9 + -4(a + -2)

Reorder the terms:
-24 + 13.5a = 9 + -4(-2 + a)
-24 + 13.5a = 9 + (-2 * -4 + a * -4)
-24 + 13.5a = 9 + (8 + -4a)

Combine like terms: 9 + 8 = 17
-24 + 13.5a = 17 + -4a

Solving
-24 + 13.5a = 17 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
-24 + 13.5a + 4a = 17 + -4a + 4a

Combine like terms: 13.5a + 4a = 17.5a
-24 + 17.5a = 17 + -4a + 4a

Combine like terms: -4a + 4a = 0
-24 + 17.5a = 17 + 0
-24 + 17.5a = 17

Add '24' to each side of the equation.
-24 + 24 + 17.5a = 17 + 24

Combine like terms: -24 + 24 = 0
0 + 17.5a = 17 + 24
17.5a = 17 + 24

Combine like terms: 17 + 24 = 41
17.5a = 41

Divide each side by '17.5'.
a = 2.342857143

Simplifying
a = 2.342857143

See similar equations:

| (Z-4)/(-2)=13 | | 2-22=13+2w-9 | | X+10=.5(x+2) | | -5x=-3x-12 | | -.5x+3=4 | | 2.3x+13.7=1.3x+29 | | 9+2x+x=180 | | -30x=-26x-36 | | 3x+5x-2x=64 | | 12-(2x+1)=-(x+2)+5x | | -6+x/7=-5 | | 37-11(-p-7)=-29 | | D=vy | | 1/3(9x-36)=-9 | | -2x=-19 | | -6+x/7=-7 | | 12x+80=12x+80 | | 3x-17=87 | | -(3x-12)=48 | | h=200-16t^2 | | 5g+12=-3 | | r(r-12)=-36 | | -17n=-204 | | 13=7r+2 | | -m-9=21 | | y-22=y-16 | | Y=5x^3+2x^2-3x | | 7m+8=57 | | 5x+3=4(x+8) | | 5x+3=(x+8) | | w(2w+4)=96 | | 2w^2=24 |

Equations solver categories