6(a+2)+3=3(10+3a)

Simple and best practice solution for 6(a+2)+3=3(10+3a) 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 6(a+2)+3=3(10+3a) equation: 


Simplifying
6(a + 2) + 3 = 3(10 + 3a)

Reorder the terms:
6(2 + a) + 3 = 3(10 + 3a)
(2 * 6 + a * 6) + 3 = 3(10 + 3a)
(12 + 6a) + 3 = 3(10 + 3a)

Reorder the terms:
12 + 3 + 6a = 3(10 + 3a)

Combine like terms: 12 + 3 = 15
15 + 6a = 3(10 + 3a)
15 + 6a = (10 * 3 + 3a * 3)
15 + 6a = (30 + 9a)

Solving
15 + 6a = 30 + 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.
15 + 6a + -9a = 30 + 9a + -9a

Combine like terms: 6a + -9a = -3a
15 + -3a = 30 + 9a + -9a

Combine like terms: 9a + -9a = 0
15 + -3a = 30 + 0
15 + -3a = 30

Add '-15' to each side of the equation.
15 + -15 + -3a = 30 + -15

Combine like terms: 15 + -15 = 0
0 + -3a = 30 + -15
-3a = 30 + -15

Combine like terms: 30 + -15 = 15
-3a = 15

Divide each side by '-3'.
a = -5

Simplifying
a = -5

See similar equations:

| 2(a+2)+3=3(10+3a) | | 1=9+t1/2 | | -4(-7+6n)+1=-3n-34 | | -10=-5x+x+10 | | y/11+6=-19 | | (3x+4)=x-2 | | 3w-21-2=15w-25-4w | | 4x^2-9x+20=8x+5 | | 2(a+6)+3=3(10+3a) | | 37/12=7x | | 4x-108=0 | | y/11+2=-7 | | 1/2t+9 | | 37/12-1 | | ((w-3)/6)*33 | | 4v-12v-2=4v-8 | | -8x-2=-9-7x | | 12312345128349807+7819083740817234907=01243801723471204089172-12834701234807 | | 2(a+6)+3=3(10-3a) | | x^2-200x+4805.34=0 | | 1/4(36-x)=-15 | | 6/-3+5=7 | | -8-2=-9-7x | | x^2-200+4805.34=0 | | 3a+3(-8a+2)=2a-40 | | 39-(2c+4)=2(c+5)+c | | -1/5(x+20)=21 | | 1/4y2+14y-2y-4 | | 0=x^2+26x+4 | | -4(3m-10)-6(-7m-6)=74 | | 2(x+14)=42 | | 1/3(x+33)=-7 |

Equations solver categories