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

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


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

Reorder the terms:
3(-5 + a) = 2(a + 5)
(-5 * 3 + a * 3) = 2(a + 5)
(-15 + 3a) = 2(a + 5)

Reorder the terms:
-15 + 3a = 2(5 + a)
-15 + 3a = (5 * 2 + a * 2)
-15 + 3a = (10 + 2a)

Solving
-15 + 3a = 10 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-15 + 3a + -2a = 10 + 2a + -2a

Combine like terms: 3a + -2a = 1a
-15 + 1a = 10 + 2a + -2a

Combine like terms: 2a + -2a = 0
-15 + 1a = 10 + 0
-15 + 1a = 10

Add '15' to each side of the equation.
-15 + 15 + 1a = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 1a = 10 + 15
1a = 10 + 15

Combine like terms: 10 + 15 = 25
1a = 25

Divide each side by '1'.
a = 25

Simplifying
a = 25

See similar equations:

| 62-31m+12m-10= | | 3(2x+5)=-39 | | x^2+18x=10 | | 4x^2-5=23 | | -n+5=-7+2n | | x^2-15x+56=0 | | 3x^2-7x-8=0 | | 2x^2-8=16 | | 4(y+8)-6y=26 | | 22-5(6x-1)=-63 | | 6+4x=(6x+9) | | 4(y-8)-6y=26 | | 7=3y-6 | | -6-2n=3n-6(6+5) | | .25(b-7)=8 | | 5(6z-1)-2(z+8)=24(z+1) | | 3x+11=8x+10 | | -2=h+10 | | 68-7x=2x+22 | | 5-9x=85-37x | | 113-3x=4x+8 | | -19-5x=5-8x | | 2.9m+1.7=3.5m | | y-2x=9 | | 7x+4=8x-8 | | 2x^2+6x-180=0 | | 50-x+6+10x=40-6x | | 7x^2-63x=0 | | 2w-4=22 | | 3b+9=4b+1 | | y=9n | | 5d=9d+-18 |

Equations solver categories