2(a+4)=2(a-4)+4a

Simple and best practice solution for 2(a+4)=2(a-4)+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 2(a+4)=2(a-4)+4a equation:


Simplifying
2(a + 4) = 2(a + -4) + 4a

Reorder the terms:
2(4 + a) = 2(a + -4) + 4a
(4 * 2 + a * 2) = 2(a + -4) + 4a
(8 + 2a) = 2(a + -4) + 4a

Reorder the terms:
8 + 2a = 2(-4 + a) + 4a
8 + 2a = (-4 * 2 + a * 2) + 4a
8 + 2a = (-8 + 2a) + 4a

Combine like terms: 2a + 4a = 6a
8 + 2a = -8 + 6a

Solving
8 + 2a = -8 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
8 + 2a + -6a = -8 + 6a + -6a

Combine like terms: 2a + -6a = -4a
8 + -4a = -8 + 6a + -6a

Combine like terms: 6a + -6a = 0
8 + -4a = -8 + 0
8 + -4a = -8

Add '-8' to each side of the equation.
8 + -8 + -4a = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -4a = -8 + -8
-4a = -8 + -8

Combine like terms: -8 + -8 = -16
-4a = -16

Divide each side by '-4'.
a = 4

Simplifying
a = 4

See similar equations:

| 5*6y=.5 | | (5t+11)(t+10)=0 | | x^2-30x+29=0 | | (2x^2+5x-2)+(3x^2+9x+17)-(5x^2-17)= | | v^2+8v=-15 | | 13x^2=19 | | 7x^3+2x^2=0 | | 5(-6-3d)-60=3(8+7d) | | 2020x+4800=14782-1200x | | 2.4j=9.6 | | 4x-24=-48+8x | | 3s-6=-6+s | | -11=9-4d | | .8x+7=47 | | .125=2.00 | | 2(3u+7)+28=-4(3-2u) | | 3-8c=-1 | | (5x^2+4x-7)+(3x^2+5x+13)-(8x^2-11)= | | -2*-2= | | (-2)-2= | | 13+4(2x-1)=5(x+12) | | 3n+7=23 | | 8x=55 | | 12x^3y-22x^2y^2-20xy^3= | | 9=-5g-23 | | -3(8-3t)-7t=-5(2+t) | | 3y-6+7-4y= | | 2(x+1)-(x-1)=0 | | (11x^2+4)-(2x^2-10)= | | 18x-9=19x | | 36=9t | | 9x+5.5=10x |

Equations solver categories