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

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


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

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

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

Reorder the terms:
6 + 6 + -2a + 3a = 4

Combine like terms: 6 + 6 = 12
12 + -2a + 3a = 4

Combine like terms: -2a + 3a = 1a
12 + 1a = 4

Solving
12 + 1a = 4

Solving for variable 'a'.

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

Add '-12' to each side of the equation.
12 + -12 + 1a = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 1a = 4 + -12
1a = 4 + -12

Combine like terms: 4 + -12 = -8
1a = -8

Divide each side by '1'.
a = -8

Simplifying
a = -8

See similar equations:

| x^2-10=26 | | -7(v+4)+3v+5=8v+9 | | 10x-2=4+14 | | 5x+1=7+2x | | 160-3x=42x+20 | | -13-2x=11-8x | | 12-8x=142-43x | | x^2+14x+39=0 | | 4x+6=59-9x | | 2(4t-1)=8-2t | | 8-5p=4-1 | | 75-3x=7x+1 | | 3x^2-2x+6xy-4y=0 | | (x+2)*(-4)=-1 | | 5x+60=360 | | 6x+5y=-36 | | 8x+9=6x+13 | | 6-(-x+3-2)-3x=0 | | x=29-4 | | x+30+2x+80+x-50=360 | | 3-4x=29 | | x+7+2x-1+x+3+2x+3=39 | | 4x+12=39 | | y=8x^2+4 | | 2x^2+14x=1 | | z^2+8z+4= | | 2x+60=360 | | x^2-10x+7=0 | | 15b^2-53b-28=0 | | -2x-4=8x+5 | | 5x-13=2x-4 | | (2n-5)+(m-2)=3-7 |

Equations solver categories