5(3a-1)-2(3a+2)=3(a+2)

Simple and best practice solution for 5(3a-1)-2(3a+2)=3(a+2) 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(3a-1)-2(3a+2)=3(a+2) equation:


Simplifying
5(3a + -1) + -2(3a + 2) = 3(a + 2)

Reorder the terms:
5(-1 + 3a) + -2(3a + 2) = 3(a + 2)
(-1 * 5 + 3a * 5) + -2(3a + 2) = 3(a + 2)
(-5 + 15a) + -2(3a + 2) = 3(a + 2)

Reorder the terms:
-5 + 15a + -2(2 + 3a) = 3(a + 2)
-5 + 15a + (2 * -2 + 3a * -2) = 3(a + 2)
-5 + 15a + (-4 + -6a) = 3(a + 2)

Reorder the terms:
-5 + -4 + 15a + -6a = 3(a + 2)

Combine like terms: -5 + -4 = -9
-9 + 15a + -6a = 3(a + 2)

Combine like terms: 15a + -6a = 9a
-9 + 9a = 3(a + 2)

Reorder the terms:
-9 + 9a = 3(2 + a)
-9 + 9a = (2 * 3 + a * 3)
-9 + 9a = (6 + 3a)

Solving
-9 + 9a = 6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-9 + 9a + -3a = 6 + 3a + -3a

Combine like terms: 9a + -3a = 6a
-9 + 6a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-9 + 6a = 6 + 0
-9 + 6a = 6

Add '9' to each side of the equation.
-9 + 9 + 6a = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 6a = 6 + 9
6a = 6 + 9

Combine like terms: 6 + 9 = 15
6a = 15

Divide each side by '6'.
a = 2.5

Simplifying
a = 2.5

See similar equations:

| .03*.50= | | 36=b*6 | | x^2+14x=-54 | | -6.6=2.3x-(2.7x+0.6) | | 4y+(-2y)= | | x=6x^2-8x+5 | | 2(2+4)=.75(24-8t) | | x+0.013=-4 | | 2g=6 | | m=-4m^2-7m-8 | | 30x=180 | | c=6c^2-5c-4 | | 5(x+2)=2x-8 | | 8x-4+2x=10x-8+4 | | 3(2x+5)-2=25 | | 2x-3y=33 | | 16+x-11=18-6 | | 7t=9y-8 | | 5x-6y=72 | | 42+8=70-20 | | 1.005=01005+0.95 | | x+3=-(0.5)x | | 7=-a^2+4a+4 | | 2(5x+8)=6x+60 | | 10x+24(x-4)=380 | | 8=-8y+5y | | 2y-1=3x-9 | | 1y-1x=-8 | | -19=28+-k | | 6b+3=2 | | -13x=-156 | | 5x*23=230 |

Equations solver categories