2(12+R)-(R+3)=8(2-3R)-3(5-6R)

Simple and best practice solution for 2(12+R)-(R+3)=8(2-3R)-3(5-6R) 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 2(12+R)-(R+3)=8(2-3R)-3(5-6R) equation: 


Simplifying
2(12 + R) + -1(R + 3) = 8(2 + -3R) + -3(5 + -6R)
(12 * 2 + R * 2) + -1(R + 3) = 8(2 + -3R) + -3(5 + -6R)
(24 + 2R) + -1(R + 3) = 8(2 + -3R) + -3(5 + -6R)

Reorder the terms:
24 + 2R + -1(3 + R) = 8(2 + -3R) + -3(5 + -6R)
24 + 2R + (3 * -1 + R * -1) = 8(2 + -3R) + -3(5 + -6R)
24 + 2R + (-3 + -1R) = 8(2 + -3R) + -3(5 + -6R)

Reorder the terms:
24 + -3 + 2R + -1R = 8(2 + -3R) + -3(5 + -6R)

Combine like terms: 24 + -3 = 21
21 + 2R + -1R = 8(2 + -3R) + -3(5 + -6R)

Combine like terms: 2R + -1R = 1R
21 + 1R = 8(2 + -3R) + -3(5 + -6R)
21 + 1R = (2 * 8 + -3R * 8) + -3(5 + -6R)
21 + 1R = (16 + -24R) + -3(5 + -6R)
21 + 1R = 16 + -24R + (5 * -3 + -6R * -3)
21 + 1R = 16 + -24R + (-15 + 18R)

Reorder the terms:
21 + 1R = 16 + -15 + -24R + 18R

Combine like terms: 16 + -15 = 1
21 + 1R = 1 + -24R + 18R

Combine like terms: -24R + 18R = -6R
21 + 1R = 1 + -6R

Solving
21 + 1R = 1 + -6R

Solving for variable 'R'.

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

Add '6R' to each side of the equation.
21 + 1R + 6R = 1 + -6R + 6R

Combine like terms: 1R + 6R = 7R
21 + 7R = 1 + -6R + 6R

Combine like terms: -6R + 6R = 0
21 + 7R = 1 + 0
21 + 7R = 1

Add '-21' to each side of the equation.
21 + -21 + 7R = 1 + -21

Combine like terms: 21 + -21 = 0
0 + 7R = 1 + -21
7R = 1 + -21

Combine like terms: 1 + -21 = -20
7R = -20

Divide each side by '7'.
R = -2.857142857

Simplifying
R = -2.857142857

See similar equations:

| t^3=3t-2 | | 5B-6=10-3B | | 7(3k+4)+5=4(5k-3)-8 | | x^2-40x-10=0 | | x=7x^2 | | 4(5c+2)+3c=3(7c-8)-5c | | 5(6w+2)+w=4(8w-5)+6 | | 3x+6=5-10x | | 6(3m+2)+4=9(2m+1)-m | | 5B+9=2B | | 30=3/4w | | n=12.8+-0.3 | | 4(3y+5)+3y=2(8y+3)+5 | | 10(3a+6)-20=4(7a+8)+a | | 3x/4-21x/32=-1,1/8 | | 8(4n-3)+2=6(5n+4)+n | | 2/9g= | | 8/9÷5/9 | | 5(3w+6)-10=7(2w-4)+6 | | 2y+3x+15=0 | | 6(2m+3)-4=2(5m+4)+m | | 3x^2-3x-2=18 | | 15=x/-2 | | 9x-7=6x-13 | | 4[log(x)+8]=11 | | 7h/12-4h/12 | | 3x=29-4y | | -72+6x+x^2=0 | | 4.5(5)=5x | | x-24/x | | (5x+1)(2x-3)=4x(x-5) | | 2x=-4+2y |

Equations solver categories