-3(a-7)+6=3(a+2)-5

Simple and best practice solution for -3(a-7)+6=3(a+2)-5 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(a-7)+6=3(a+2)-5 equation: 


Simplifying
-3(a + -7) + 6 = 3(a + 2) + -5

Reorder the terms:
-3(-7 + a) + 6 = 3(a + 2) + -5
(-7 * -3 + a * -3) + 6 = 3(a + 2) + -5
(21 + -3a) + 6 = 3(a + 2) + -5

Reorder the terms:
21 + 6 + -3a = 3(a + 2) + -5

Combine like terms: 21 + 6 = 27
27 + -3a = 3(a + 2) + -5

Reorder the terms:
27 + -3a = 3(2 + a) + -5
27 + -3a = (2 * 3 + a * 3) + -5
27 + -3a = (6 + 3a) + -5

Reorder the terms:
27 + -3a = 6 + -5 + 3a

Combine like terms: 6 + -5 = 1
27 + -3a = 1 + 3a

Solving
27 + -3a = 1 + 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.
27 + -3a + -3a = 1 + 3a + -3a

Combine like terms: -3a + -3a = -6a
27 + -6a = 1 + 3a + -3a

Combine like terms: 3a + -3a = 0
27 + -6a = 1 + 0
27 + -6a = 1

Add '-27' to each side of the equation.
27 + -27 + -6a = 1 + -27

Combine like terms: 27 + -27 = 0
0 + -6a = 1 + -27
-6a = 1 + -27

Combine like terms: 1 + -27 = -26
-6a = -26

Divide each side by '-6'.
a = 4.333333333

Simplifying
a = 4.333333333

See similar equations:

| 28b+116=340 | | 8a-12=-1 | | 1.3x-1.2=0.7x | | -4/2= | | 4y+2-4(-3y-3)=2(y-2) | | x+(X+35)+(4x-37)=964 | | 0.1h=-4 | | 22-5(6y-1)=-63 | | 2x^2+12=20 | | 6x-6=-12 | | 25(1x)=-8x-9 | | x^2+x+1=43 | | -.05n+1.8=1.74 | | 4y^2(y^2+3)=0 | | 16=4(2+a) | | -48*-3= | | 138=-6-8n | | 0=-0.5g | | x^2+X-2=7+X | | 14x^2-45x-14= | | 6n-15=3(n-4) | | 17v+26=-42 | | s+-12=16 | | 4*2g-3=8g-2 | | x=x^2+4x+3 | | 20-2p=4p-4 | | -48/-3= | | -3(3p+4)-2(4-11p)=3(2+4p) | | 2x^2+12x=4 | | d=1/2(3)-2 | | 7(4-3x)+3=-6(x-4)-8 | | -48/3= |

Equations solver categories