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

Simple and best practice solution for 5(a+2)=3(6+a) 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 5(a+2)=3(6+a) equation:


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

Reorder the terms:
5(2 + a) = 3(6 + a)
(2 * 5 + a * 5) = 3(6 + a)
(10 + 5a) = 3(6 + a)
10 + 5a = (6 * 3 + a * 3)
10 + 5a = (18 + 3a)

Solving
10 + 5a = 18 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
10 + 5a + -3a = 18 + 3a + -3a

Combine like terms: 5a + -3a = 2a
10 + 2a = 18 + 3a + -3a

Combine like terms: 3a + -3a = 0
10 + 2a = 18 + 0
10 + 2a = 18

Add '-10' to each side of the equation.
10 + -10 + 2a = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 2a = 18 + -10
2a = 18 + -10

Combine like terms: 18 + -10 = 8
2a = 8

Divide each side by '2'.
a = 4

Simplifying
a = 4

See similar equations:

| 6x^2+47x-63=0 | | 8a-1=10a-50 | | -81-10x=7x+21 | | 2x^2-11x-5=0 | | 5x+8=-112-7x | | 107-5x=2x+16 | | 3(8-2w)=(-2)(-6) | | 0-5x=12-7x | | 6r+12-4=-10 | | 56-4x=7x+23 | | (7x-1)*(0.4x-4)=0 | | (3x-10).50=90 | | 5x+5=115-6x | | 5+10x=32+x | | 6x-3=15x-111 | | x^2+3=3-x | | 2x+32=12x-68 | | 9x-27=5x+1 | | 3p^2+18p-11=0 | | 3p^2+18-11=0 | | 3x+38=6x+14 | | 5x=-4y+4 | | 18-x^2=14 | | x^2+18=4 | | x^2+18-4=0 | | -9.78(27x-65)=78.24(6x+34) | | 8x+49=42 | | 4m+3p+m-10p= | | x^2-17x+97=0 | | 2y-3=8 | | -115-10x=7x+21 | | 2(w-3)+5=3 |

Equations solver categories