3(2a+3)-4(3a-6)=15

Simple and best practice solution for 3(2a+3)-4(3a-6)=15 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(2a+3)-4(3a-6)=15 equation:


Simplifying
3(2a + 3) + -4(3a + -6) = 15

Reorder the terms:
3(3 + 2a) + -4(3a + -6) = 15
(3 * 3 + 2a * 3) + -4(3a + -6) = 15
(9 + 6a) + -4(3a + -6) = 15

Reorder the terms:
9 + 6a + -4(-6 + 3a) = 15
9 + 6a + (-6 * -4 + 3a * -4) = 15
9 + 6a + (24 + -12a) = 15

Reorder the terms:
9 + 24 + 6a + -12a = 15

Combine like terms: 9 + 24 = 33
33 + 6a + -12a = 15

Combine like terms: 6a + -12a = -6a
33 + -6a = 15

Solving
33 + -6a = 15

Solving for variable 'a'.

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

Add '-33' to each side of the equation.
33 + -33 + -6a = 15 + -33

Combine like terms: 33 + -33 = 0
0 + -6a = 15 + -33
-6a = 15 + -33

Combine like terms: 15 + -33 = -18
-6a = -18

Divide each side by '-6'.
a = 3

Simplifying
a = 3

See similar equations:

| 5(3h-2)=2(h+8) | | 2b+30=4b+3 | | x^3-4x^2-9x+6=0 | | 14x+5=14x-9 | | 15y-138=-8y | | .16(12-6x)=5(x+4) | | 4p=6p-12 | | (x-7)(4x+5)=0 | | 7x+4y=15 | | .3(6y-9)=-2y+13 | | 2x^2+8x-3=0 | | 3(x+2)-1=2(x+3)-7 | | x^2+16x-7=0 | | x-20=26 | | (-12)-(-12)=x | | 6x+9=4x-5 | | 10x-15x+5=45+40 | | 11(2x-5)=3x+21 | | 3(x+3)-1=2 | | 12+8a=3a-3 | | 7w-3=w-12.6 | | -.25=m+5 | | -s+4=7s-3 | | 4x+5=2x-7 | | 4g(96-3)=5g+6 | | y=x | | (15+5)-(20*3)+7= | | -15-5+20*3+7= | | 15+5-(20*3)+7= | | -6n-20=-2n+4-12n | | 7y+3=4y-18 | | 2(2-x)=8(2x+5) |

Equations solver categories