3(a-18)+2(a+13)=a-2

Simple and best practice solution for 3(a-18)+2(a+13)=a-2 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-18)+2(a+13)=a-2 equation: 


Simplifying
3(a + -18) + 2(a + 13) = a + -2

Reorder the terms:
3(-18 + a) + 2(a + 13) = a + -2
(-18 * 3 + a * 3) + 2(a + 13) = a + -2
(-54 + 3a) + 2(a + 13) = a + -2

Reorder the terms:
-54 + 3a + 2(13 + a) = a + -2
-54 + 3a + (13 * 2 + a * 2) = a + -2
-54 + 3a + (26 + 2a) = a + -2

Reorder the terms:
-54 + 26 + 3a + 2a = a + -2

Combine like terms: -54 + 26 = -28
-28 + 3a + 2a = a + -2

Combine like terms: 3a + 2a = 5a
-28 + 5a = a + -2

Reorder the terms:
-28 + 5a = -2 + a

Solving
-28 + 5a = -2 + 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.
-28 + 5a + -1a = -2 + a + -1a

Combine like terms: 5a + -1a = 4a
-28 + 4a = -2 + a + -1a

Combine like terms: a + -1a = 0
-28 + 4a = -2 + 0
-28 + 4a = -2

Add '28' to each side of the equation.
-28 + 28 + 4a = -2 + 28

Combine like terms: -28 + 28 = 0
0 + 4a = -2 + 28
4a = -2 + 28

Combine like terms: -2 + 28 = 26
4a = 26

Divide each side by '4'.
a = 6.5

Simplifying
a = 6.5

See similar equations:

| 243-6x=171 | | 6=-18w | | 4(h-3)+5= | | 3(2y-1)/5=2y-3 | | -35x^2-130x+40= | | (x+2.9)-(0.1x+4)=15 | | -m=14 | | (x+2.9)-(0.1x+5)=12 | | 4=3(x-3)+4-2x | | (245-2x)^1/2=5+x | | 5(2+4y)=85 | | =10x+6(2x+8) | | x^2+10x-220=0 | | x^2-40x+336=0 | | -5(4-8)+2(2+10)= | | (8n-6)=(4m-2) | | 0.30+.05(8-x)=.10(-16) | | 5x+23(x-2)=122 | | 49x^2-42x-72=0 | | x+y=710 | | 7-2X=X-8 | | 0.30+.05(8-x)=.10(16) | | x/y=0.9612 | | 4/5(-20/1)-5 | | 35X+17=11X+41 | | 24+4x=180 | | (16+3x)/4=37 | | (16+3x)/4 | | A/2+5=18 | | .2(y+1)-.9(y+3)=8 | | 5=t/2-3 | | 1/2(y-2)=2/3(2y-5) |

Equations solver categories