-55=5(a+6)+5(-5-4a)

Simple and best practice solution for -55=5(a+6)+5(-5-4a) 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 -55=5(a+6)+5(-5-4a) equation:


Simplifying
-55 = 5(a + 6) + 5(-5 + -4a)

Reorder the terms:
-55 = 5(6 + a) + 5(-5 + -4a)
-55 = (6 * 5 + a * 5) + 5(-5 + -4a)
-55 = (30 + 5a) + 5(-5 + -4a)
-55 = 30 + 5a + (-5 * 5 + -4a * 5)
-55 = 30 + 5a + (-25 + -20a)

Reorder the terms:
-55 = 30 + -25 + 5a + -20a

Combine like terms: 30 + -25 = 5
-55 = 5 + 5a + -20a

Combine like terms: 5a + -20a = -15a
-55 = 5 + -15a

Solving
-55 = 5 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
-55 + 15a = 5 + -15a + 15a

Combine like terms: -15a + 15a = 0
-55 + 15a = 5 + 0
-55 + 15a = 5

Add '55' to each side of the equation.
-55 + 55 + 15a = 5 + 55

Combine like terms: -55 + 55 = 0
0 + 15a = 5 + 55
15a = 5 + 55

Combine like terms: 5 + 55 = 60
15a = 60

Divide each side by '15'.
a = 4

Simplifying
a = 4

See similar equations:

| 3(2x-5)=3x | | 15=b-6b | | 2(2x+3)=10x | | 5(x+6)=15x | | 4(x-2)=3x | | 2(x+1)=3x | | 3(3x-7)=15 | | 2(5x+4)=28 | | 3(2x-1)=27 | | 2(2x+1)=26 | | 7(x-2)=21 | | 4(x+2)=36 | | 5(x+2)=15 | | 3(x-1)=9 | | 7x-3=5x+19 | | 400=20x+350 | | 153-3x=24x+24 | | 8-7x=28-14x | | 2x+7=-92-9x | | 103-5x=2x+19 | | 0-6x=12-10x | | 4(x-1)-3(x-2)=4-5x | | 6x-2=13x-30 | | 3x+31=12x-68 | | 154-4x=32x+18 | | 4+8x=25+x | | 6x+37=8x+13 | | 11x+8=8x+23 | | 8x-24=4x+4 | | -32-8x=10x+22 | | 6x+6=-129-9x | | 8x-23=41 |

Equations solver categories