3(-45a+27)=13(-8a-10)

Simple and best practice solution for 3(-45a+27)=13(-8a-10) 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 3(-45a+27)=13(-8a-10) equation:


Simplifying
3(-45a + 27) = 13(-8a + -10)

Reorder the terms:
3(27 + -45a) = 13(-8a + -10)
(27 * 3 + -45a * 3) = 13(-8a + -10)
(81 + -135a) = 13(-8a + -10)

Reorder the terms:
81 + -135a = 13(-10 + -8a)
81 + -135a = (-10 * 13 + -8a * 13)
81 + -135a = (-130 + -104a)

Solving
81 + -135a = -130 + -104a

Solving for variable 'a'.

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

Add '104a' to each side of the equation.
81 + -135a + 104a = -130 + -104a + 104a

Combine like terms: -135a + 104a = -31a
81 + -31a = -130 + -104a + 104a

Combine like terms: -104a + 104a = 0
81 + -31a = -130 + 0
81 + -31a = -130

Add '-81' to each side of the equation.
81 + -81 + -31a = -130 + -81

Combine like terms: 81 + -81 = 0
0 + -31a = -130 + -81
-31a = -130 + -81

Combine like terms: -130 + -81 = -211
-31a = -211

Divide each side by '-31'.
a = 6.806451613

Simplifying
a = 6.806451613

See similar equations:

| 4(5x-8)=38 | | F(x)=14x-2 | | 2x-4(5x-18)=-18 | | K+8.3=29.1 | | -15c+c=0 | | -3x+13y=25 | | -(10-4f)=-3(-12-8f) | | 4(z-3)=4 | | w^2+2w-77= | | w(2w-1)=21 | | 15-10= | | Y=4*3y+22 | | 15=-3p+12 | | 10t-6t= | | 3x-6(8x+18)=-6 | | f(x)=x^3-12x^2+36x | | w^2-w-21=0 | | 4(2x-6)+3(x-2)=25 | | 5k-12=3k+24 | | w^2-w-21=10 | | 7x+7-6x=4 | | 2x-8=-6x+8 | | 0.2x-0.5x=0.1x+7 | | 3(n-8)=13 | | 2x+11=4x+17 | | 1(2x-27)= | | -4+3x=-5+x | | 2x-5(4-3x)=x+12 | | x+7=x+77 | | 20t=20-16t^2+32t | | 5x+3=-3+3x+20 | | -5x-2(2x+4)=-17 |

Equations solver categories