71-(7c+12)=7(c+2)+c

Simple and best practice solution for 71-(7c+12)=7(c+2)+c 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 71-(7c+12)=7(c+2)+c equation: 


Simplifying
71 + -1(7c + 12) = 7(c + 2) + c

Reorder the terms:
71 + -1(12 + 7c) = 7(c + 2) + c
71 + (12 * -1 + 7c * -1) = 7(c + 2) + c
71 + (-12 + -7c) = 7(c + 2) + c

Combine like terms: 71 + -12 = 59
59 + -7c = 7(c + 2) + c

Reorder the terms:
59 + -7c = 7(2 + c) + c
59 + -7c = (2 * 7 + c * 7) + c
59 + -7c = (14 + 7c) + c

Combine like terms: 7c + c = 8c
59 + -7c = 14 + 8c

Solving
59 + -7c = 14 + 8c

Solving for variable 'c'.

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

Add '-8c' to each side of the equation.
59 + -7c + -8c = 14 + 8c + -8c

Combine like terms: -7c + -8c = -15c
59 + -15c = 14 + 8c + -8c

Combine like terms: 8c + -8c = 0
59 + -15c = 14 + 0
59 + -15c = 14

Add '-59' to each side of the equation.
59 + -59 + -15c = 14 + -59

Combine like terms: 59 + -59 = 0
0 + -15c = 14 + -59
-15c = 14 + -59

Combine like terms: 14 + -59 = -45
-15c = -45

Divide each side by '-15'.
c = 3

Simplifying
c = 3

See similar equations:

| 3a+(2a-5)=13 | | 2(9-x)=38 | | 7(n-4)+3n=52 | | -y^2+10y-16=0 | | 2(x-3)-6(2x+1)=-5(2x-4) | | 0=x^2-17x | | 12x-4y=28 | | 2(6t+1)-12=t-(t+9) | | -7x=5x-72 | | 7(4x+4)=-112 | | 4x+x=65 | | x-(-4)=-12 | | 7(4x+4)=-12 | | 10z-(3z-11)=11 | | 6r+6=20r+13 | | -5x+21+7x+21=-6 | | 2x^2+15x+27=(2x+9) | | -y^2+4y+21=0 | | 7(10+3x)=196 | | -7y=4-8y+2 | | -4(x+2)=20 | | a+18=b | | w^2+w-10=0 | | -7n+48=-10-22n | | 15x-20x=65 | | -4x(x+2)=20 | | 16x=8x-24 | | x/5+x/4=3 | | -v^2-4v+12=0 | | 0=x^2-17x-72 | | 0=x^2-17-72 | | 6a=3(6a-[6a+(7a-1)])+6 |

Equations solver categories