5(a-2)-(6-a)=-8(a-12)

Simple and best practice solution for 5(a-2)-(6-a)=-8(a-12) 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)-(6-a)=-8(a-12) equation:


Simplifying
5(a + -2) + -1(6 + -1a) = -8(a + -12)

Reorder the terms:
5(-2 + a) + -1(6 + -1a) = -8(a + -12)
(-2 * 5 + a * 5) + -1(6 + -1a) = -8(a + -12)
(-10 + 5a) + -1(6 + -1a) = -8(a + -12)
-10 + 5a + (6 * -1 + -1a * -1) = -8(a + -12)
-10 + 5a + (-6 + 1a) = -8(a + -12)

Reorder the terms:
-10 + -6 + 5a + 1a = -8(a + -12)

Combine like terms: -10 + -6 = -16
-16 + 5a + 1a = -8(a + -12)

Combine like terms: 5a + 1a = 6a
-16 + 6a = -8(a + -12)

Reorder the terms:
-16 + 6a = -8(-12 + a)
-16 + 6a = (-12 * -8 + a * -8)
-16 + 6a = (96 + -8a)

Solving
-16 + 6a = 96 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
-16 + 6a + 8a = 96 + -8a + 8a

Combine like terms: 6a + 8a = 14a
-16 + 14a = 96 + -8a + 8a

Combine like terms: -8a + 8a = 0
-16 + 14a = 96 + 0
-16 + 14a = 96

Add '16' to each side of the equation.
-16 + 16 + 14a = 96 + 16

Combine like terms: -16 + 16 = 0
0 + 14a = 96 + 16
14a = 96 + 16

Combine like terms: 96 + 16 = 112
14a = 112

Divide each side by '14'.
a = 8

Simplifying
a = 8

See similar equations:

| 7c+20=26 | | 4x+40=14x-70 | | n+-3n=14-4n | | 8x-6=6x+4 | | 5m+16=19 | | 2x+30=4x+14 | | (4w-2)(5w-4)= | | 11-10x=139-38x | | 4x+7=21+2x | | 280-2x=43x+20 | | 7x+10=22 | | 5x+2=-4+7x | | 11-10x=7x+23 | | 4-5x=2x-10 | | X-7.2=-3.8 | | 10+4x=7x-23 | | R+37=19 | | 5x^2-11x-1=0 | | 7x+9=12+4x | | 4x+12=-16-10x | | 2x+6=22 | | 8x-29=16-x | | 7+2x=5x-29 | | 3(x-4)+4=(2x-2)5+9 | | 2+2=8 | | 6x^2+9+1=0 | | 3x+3=x+27 | | 5x+18=14x-63 | | (2x+3)(4x-5)=0 | | 7+3x=4x-1 | | 6x+86=12x+14 | | 5x+2(x+1)=16 |

Equations solver categories