5(a+3)=2(a-6)

Simple and best practice solution for 5(a+3)=2(a-6) 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+3)=2(a-6) equation:


Simplifying
5(a + 3) = 2(a + -6)

Reorder the terms:
5(3 + a) = 2(a + -6)
(3 * 5 + a * 5) = 2(a + -6)
(15 + 5a) = 2(a + -6)

Reorder the terms:
15 + 5a = 2(-6 + a)
15 + 5a = (-6 * 2 + a * 2)
15 + 5a = (-12 + 2a)

Solving
15 + 5a = -12 + 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 + 5a + -2a = -12 + 2a + -2a

Combine like terms: 5a + -2a = 3a
15 + 3a = -12 + 2a + -2a

Combine like terms: 2a + -2a = 0
15 + 3a = -12 + 0
15 + 3a = -12

Add '-15' to each side of the equation.
15 + -15 + 3a = -12 + -15

Combine like terms: 15 + -15 = 0
0 + 3a = -12 + -15
3a = -12 + -15

Combine like terms: -12 + -15 = -27
3a = -27

Divide each side by '3'.
a = -9

Simplifying
a = -9

See similar equations:

| 8x-5=4x+15 | | 47-2x=16x+15 | | (x^2-y^2)*(x^2+y^2)=175 | | -.25(a-9)=.375 | | .25(a-9)=.375 | | 7a+8b=117 | | 4x+5=-44-9x | | 4(x-2)=2(8-x) | | 6x-4=x+11 | | 3x=6x-15 | | 1x-2x=36 | | a+(a+1)+(a+2)=2013 | | (x-2)+(x-1)+x=2013 | | (n-1)+n+(n+1)=2013 | | 100-7x=29x+16 | | X^3-5x+1=0 | | 62-2x=2x+22 | | b+(b+1)=1.1 | | 5x+10=-116-9x | | B+b+1=1.1 | | 3*5=5*6 | | 7x+(-12x)+5(7-x)=3(6+2) | | 7a+(-12a)+5(7-a)=3(6+2) | | X^2+7X-13=5 | | 5-(a+6)-3a=-9a-16 | | 5x^2+x-18= | | x+2x+5=-3x+7-8x | | 12-5X+2X=8X+37 | | 500-(-x+80)=-20 | | 3+(11-x)=6 | | 4x-12*7-x=0 | | 8+4y=23-y |

Equations solver categories