10a-3(2a-9)=9(a-1)+1

Simple and best practice solution for 10a-3(2a-9)=9(a-1)+1 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 10a-3(2a-9)=9(a-1)+1 equation:


Simplifying
10a + -3(2a + -9) = 9(a + -1) + 1

Reorder the terms:
10a + -3(-9 + 2a) = 9(a + -1) + 1
10a + (-9 * -3 + 2a * -3) = 9(a + -1) + 1
10a + (27 + -6a) = 9(a + -1) + 1

Reorder the terms:
27 + 10a + -6a = 9(a + -1) + 1

Combine like terms: 10a + -6a = 4a
27 + 4a = 9(a + -1) + 1

Reorder the terms:
27 + 4a = 9(-1 + a) + 1
27 + 4a = (-1 * 9 + a * 9) + 1
27 + 4a = (-9 + 9a) + 1

Reorder the terms:
27 + 4a = -9 + 1 + 9a

Combine like terms: -9 + 1 = -8
27 + 4a = -8 + 9a

Solving
27 + 4a = -8 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
27 + 4a + -9a = -8 + 9a + -9a

Combine like terms: 4a + -9a = -5a
27 + -5a = -8 + 9a + -9a

Combine like terms: 9a + -9a = 0
27 + -5a = -8 + 0
27 + -5a = -8

Add '-27' to each side of the equation.
27 + -27 + -5a = -8 + -27

Combine like terms: 27 + -27 = 0
0 + -5a = -8 + -27
-5a = -8 + -27

Combine like terms: -8 + -27 = -35
-5a = -35

Divide each side by '-5'.
a = 7

Simplifying
a = 7

See similar equations:

| x+2y=v | | 7(2x+2)=8(3x-2) | | 7(13-x)= | | -4(9h-6)=18+7h | | 20x^2+10x-1-20=0 | | 2x^2-45x-675=0 | | x^2-(2m+1)+m^2+m=0 | | 50p=140 | | (10+x)+12=52 | | 3/10d+2c-7/10d-1/9c | | 15p+3p-3=24 | | -3x/4=9 | | 2x+11=8x-12 | | 5(6+3x)=7x-2 | | 6x-8-2x=-26 | | 4(x-6)+12=40 | | 4/5x15/17 | | 2x+6=-6-7x | | 16=-8(5d-6) | | 2x+12=1x+36 | | 2g= | | 7/5*2/3 | | -10/60=x | | -4-4=16 | | -6(x+9)-44=3-59 | | -2+[(-12+10)-(-4+2)]= | | 4/6+7/5 | | 7+(4+n)= | | 3(x-3)+2=-14 | | 2x^2+2x-20=4 | | 4/5+7/5 | | -5x-4=-(1+6x) |

Equations solver categories