3(a-10)+6=-12(a-3)

Simple and best practice solution for 3(a-10)+6=-12(a-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 3(a-10)+6=-12(a-3) equation:


Simplifying
3(a + -10) + 6 = -12(a + -3)

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

Reorder the terms:
-30 + 6 + 3a = -12(a + -3)

Combine like terms: -30 + 6 = -24
-24 + 3a = -12(a + -3)

Reorder the terms:
-24 + 3a = -12(-3 + a)
-24 + 3a = (-3 * -12 + a * -12)
-24 + 3a = (36 + -12a)

Solving
-24 + 3a = 36 + -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 + 3a + 12a = 36 + -12a + 12a

Combine like terms: 3a + 12a = 15a
-24 + 15a = 36 + -12a + 12a

Combine like terms: -12a + 12a = 0
-24 + 15a = 36 + 0
-24 + 15a = 36

Add '24' to each side of the equation.
-24 + 24 + 15a = 36 + 24

Combine like terms: -24 + 24 = 0
0 + 15a = 36 + 24
15a = 36 + 24

Combine like terms: 36 + 24 = 60
15a = 60

Divide each side by '15'.
a = 4

Simplifying
a = 4

See similar equations:

| 2-2=-t/7 | | -7=z/8 | | 25z^6-50y^2z= | | 9(-8x+1)+7x=-4(9x+5) | | 8=2v+2 | | 3v+4=7 | | 4-3a=14 | | 7x-7y+4a= | | (-3/4)*(-3/4) | | -2x^2y+2xy+12y=0 | | 1/(x^2+3x+2)=(1/(x-2))+(2/(x^2-4)) | | x/11=-5 | | x^3+8x^2+14x+12=0 | | x=(x)+3 | | 1=x/7 | | 18.50+1x=30.60 | | y=(3y)+1 | | 18.50+1x=36.50 | | 18.50+1x=26.50 | | 20k=-5 | | x=250000+0.4x | | 14+1x=50 | | 250000=x+0.4x | | 3(u-7)-9=-4(-5u+8)-3u | | 3p-p+7=15 | | 12x+6x=24 | | 0.25=220a+b | | 1/5x+4=18 | | -6x=18+3x | | 0.8x+2=-0.2x | | 15d^2+48d+36=0 | | 0.8x+2=0.2x |

Equations solver categories