7a+2+14a-14b+3a+10b+b-17=300

Simple and best practice solution for 7a+2+14a-14b+3a+10b+b-17=300 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 7a+2+14a-14b+3a+10b+b-17=300 equation:


Simplifying
7a + 2 + 14a + -14b + 3a + 10b + b + -17 = 300

Reorder the terms:
2 + -17 + 7a + 14a + 3a + -14b + 10b + b = 300

Combine like terms: 2 + -17 = -15
-15 + 7a + 14a + 3a + -14b + 10b + b = 300

Combine like terms: 7a + 14a = 21a
-15 + 21a + 3a + -14b + 10b + b = 300

Combine like terms: 21a + 3a = 24a
-15 + 24a + -14b + 10b + b = 300

Combine like terms: -14b + 10b = -4b
-15 + 24a + -4b + b = 300

Combine like terms: -4b + b = -3b
-15 + 24a + -3b = 300

Solving
-15 + 24a + -3b = 300

Solving for variable 'a'.

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

Add '15' to each side of the equation.
-15 + 24a + 15 + -3b = 300 + 15

Reorder the terms:
-15 + 15 + 24a + -3b = 300 + 15

Combine like terms: -15 + 15 = 0
0 + 24a + -3b = 300 + 15
24a + -3b = 300 + 15

Combine like terms: 300 + 15 = 315
24a + -3b = 315

Add '3b' to each side of the equation.
24a + -3b + 3b = 315 + 3b

Combine like terms: -3b + 3b = 0
24a + 0 = 315 + 3b
24a = 315 + 3b

Divide each side by '24'.
a = 13.125 + 0.125b

Simplifying
a = 13.125 + 0.125b

See similar equations:

| 5(2+2x)=100 | | 2.8x+3=5.2x-9 | | 5-2j=3j-7j+25 | | -25-8x=-15 | | V=u+at(t) | | 2x+7+6(x+1)=-7x-7 | | 8q-8i=7i+6 | | 2d-12=2 | | 14x+27=-1x+61 | | 7(8-3x)=266 | | 5x+3(2x-5)=3-7x | | 2x-1/2-x-5/3=5/4 | | x^3+3*x^2-24*x-80=0 | | 3c/5:c/15 | | 2w+-4w= | | 8+3(4x-5)=7-3(2x+1) | | 1000=-219.75x+21028.35 | | ln(2x+3)=4x+6 | | 6y-4=9y+5 | | 12(4c-4)=6c-9 | | lnx+ln(x+4)=12 | | 6x+1=6x+4 | | 14=12w-5w | | 3(5x+3)=-51 | | 25x-12=0 | | 600-5x=120+3n | | -8-(3x-8)=2(-9+2x)-9x+4 | | 600-5x=120 | | y=5-q+p | | 1.5x^3-4.5x^2+6=0 | | K+m=-57 | | m+7=3+m |

Equations solver categories