3[a-(3-2a)-2]=a-7

Simple and best practice solution for 3[a-(3-2a)-2]=a-7 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-(3-2a)-2]=a-7 equation: 


Simplifying
3[a + -1(3 + -2a) + -2] = a + -7
3[a + (3 * -1 + -2a * -1) + -2] = a + -7
3[a + (-3 + 2a) + -2] = a + -7

Reorder the terms:
3[-3 + -2 + a + 2a] = a + -7

Combine like terms: -3 + -2 = -5
3[-5 + a + 2a] = a + -7

Combine like terms: a + 2a = 3a
3[-5 + 3a] = a + -7
[-5 * 3 + 3a * 3] = a + -7
[-15 + 9a] = a + -7

Reorder the terms:
-15 + 9a = -7 + a

Solving
-15 + 9a = -7 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-15 + 9a + -1a = -7 + a + -1a

Combine like terms: 9a + -1a = 8a
-15 + 8a = -7 + a + -1a

Combine like terms: a + -1a = 0
-15 + 8a = -7 + 0
-15 + 8a = -7

Add '15' to each side of the equation.
-15 + 15 + 8a = -7 + 15

Combine like terms: -15 + 15 = 0
0 + 8a = -7 + 15
8a = -7 + 15

Combine like terms: -7 + 15 = 8
8a = 8

Divide each side by '8'.
a = 1

Simplifying
a = 1

See similar equations:

| 1-7x=7x-41 | | 15a+6c+3-6a+c= | | 182.12=2r(3.14) | | 3/20m=232 | | 2(-1)+4= | | 67=5r+12 | | 182.12=r(3.14) | | 3(2n+-7)=9 | | -1/5c=2 | | 24b^2+96b= | | 3(2n-7)=-9 | | 4a+a+3z-z= | | 182.12=r*3.14 | | 5x+3+3x+7= | | 0.2(d-6)=0.3d+2+0.1d | | 1/3t^2-1=11 | | -a=-32 | | 4x+10=52 | | (7x+6)+(7x+1)+(8x-3)= | | 4h+7h+-16=6 | | 5c-9=13 | | 5+8=48 | | 62-6x=21x+20 | | 4h+7-16=6 | | 2x-3-x=3x+5 | | 1/5w=-5 | | -46-7x=-11x+62 | | 6x-2+11x+3=120 | | 6-12+4= | | 1/4b=6 | | 2m+50=50 | | t/4-1=10 |

Equations solver categories