3(a+5)+4(a+5)=21

Simple and best practice solution for 3(a+5)+4(a+5)=21 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)+4(a+5)=21 equation:


Simplifying
3(a + 5) + 4(a + 5) = 21

Reorder the terms:
3(5 + a) + 4(a + 5) = 21
(5 * 3 + a * 3) + 4(a + 5) = 21
(15 + 3a) + 4(a + 5) = 21

Reorder the terms:
15 + 3a + 4(5 + a) = 21
15 + 3a + (5 * 4 + a * 4) = 21
15 + 3a + (20 + 4a) = 21

Reorder the terms:
15 + 20 + 3a + 4a = 21

Combine like terms: 15 + 20 = 35
35 + 3a + 4a = 21

Combine like terms: 3a + 4a = 7a
35 + 7a = 21

Solving
35 + 7a = 21

Solving for variable 'a'.

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

Add '-35' to each side of the equation.
35 + -35 + 7a = 21 + -35

Combine like terms: 35 + -35 = 0
0 + 7a = 21 + -35
7a = 21 + -35

Combine like terms: 21 + -35 = -14
7a = -14

Divide each side by '7'.
a = -2

Simplifying
a = -2

See similar equations:

| 3y-17=4 | | .5x-3=2x | | 60=3x^2-8x | | 15=5x(2) | | 4x^3-13x^2+11x-2=0 | | y=x^2-9x+4 | | y=13x^2+11x-2 | | y=4x^3-13x^2+11x-2 | | 18y+7=7y-15 | | 8m-12=3m+3 | | 8*(u-2)-3=29 | | 4x+5=11x-2 | | 9-5(2x-9)=2+4(x-3) | | 5x-6=2x-11 | | -2+3x-5=13x-9 | | -5(x-2)=3x-9 | | -3x-8x+2=16 | | 5x-6-2x=12x-9 | | 2x-9+8x=15-3x | | n-12=3n+4 | | 5(3a+5)=4a-8 | | 5x-5=7x-3 | | 4b+2=3(6-4b) | | 22-5x=-3 | | 8x-1.6=4 | | 2t-4=-20 | | 3(10+4y)=6+6y | | 6y+25=-2y-15 | | 9=-6x+3(x-4) | | 6-8g=4-4g | | 7x-3=10-4x | | 15+11x=72-5m |

Equations solver categories