2a-8(a+3)=9-3(4a+10)

Simple and best practice solution for 2a-8(a+3)=9-3(4a+10) 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 2a-8(a+3)=9-3(4a+10) equation:


Simplifying
2a + -8(a + 3) = 9 + -3(4a + 10)

Reorder the terms:
2a + -8(3 + a) = 9 + -3(4a + 10)
2a + (3 * -8 + a * -8) = 9 + -3(4a + 10)
2a + (-24 + -8a) = 9 + -3(4a + 10)

Reorder the terms:
-24 + 2a + -8a = 9 + -3(4a + 10)

Combine like terms: 2a + -8a = -6a
-24 + -6a = 9 + -3(4a + 10)

Reorder the terms:
-24 + -6a = 9 + -3(10 + 4a)
-24 + -6a = 9 + (10 * -3 + 4a * -3)
-24 + -6a = 9 + (-30 + -12a)

Combine like terms: 9 + -30 = -21
-24 + -6a = -21 + -12a

Solving
-24 + -6a = -21 + -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.
-24 + -6a + 12a = -21 + -12a + 12a

Combine like terms: -6a + 12a = 6a
-24 + 6a = -21 + -12a + 12a

Combine like terms: -12a + 12a = 0
-24 + 6a = -21 + 0
-24 + 6a = -21

Add '24' to each side of the equation.
-24 + 24 + 6a = -21 + 24

Combine like terms: -24 + 24 = 0
0 + 6a = -21 + 24
6a = -21 + 24

Combine like terms: -21 + 24 = 3
6a = 3

Divide each side by '6'.
a = 0.5

Simplifying
a = 0.5

See similar equations:

| 1/6x1/6x1/6 | | 56/90 | | 5y+7=-8(y+4) | | 8a-(a-5)-(a+6)=a-11 | | 5(r+9)-8(r+5)=-13 | | (3z+7)(6+z)=0 | | 2(v-3)=-5v+22 | | ln(x-2)-ln(x+11)=ln(x-1)-ln(x+15) | | 2x+26=5x-7 | | 3a+15+5a+5=180 | | 0.5x(x+5)=0 | | xsquared+10x=45 | | 7+30x=15x+16 | | 6m^2-2m-4+10m^2+3m-6= | | 12x+28=6x+190 | | (6q+10)(q-3)= | | 6y-5=-2y+19 | | 5-4x-7=x-12x-5 | | 256/16 | | 9x-(3-4x)=6(x+3) | | (6q+6)(q-5)= | | (y^2+5y-2)(y^2+7)-3(y^3-2y)=0 | | f(x)=1/2x^4-8x^2 | | 961=20*20x | | (6q+5)(q-1)= | | 5t-3=18+3(1-1) | | 2+3u=-1 | | (-2)(7)= | | (6q+1)(q-5)= | | A+a=17n+5 | | Hg(x)=3.08(12)sqrt+18.97 | | ln(x+6)-ln(3)=ln(x) |

Equations solver categories