3(r+5)+2(r-2)=2(r-9)-1

Simple and best practice solution for 3(r+5)+2(r-2)=2(r-9)-1 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(r+5)+2(r-2)=2(r-9)-1 equation:


Simplifying
3(r + 5) + 2(r + -2) = 2(r + -9) + -1

Reorder the terms:
3(5 + r) + 2(r + -2) = 2(r + -9) + -1
(5 * 3 + r * 3) + 2(r + -2) = 2(r + -9) + -1
(15 + 3r) + 2(r + -2) = 2(r + -9) + -1

Reorder the terms:
15 + 3r + 2(-2 + r) = 2(r + -9) + -1
15 + 3r + (-2 * 2 + r * 2) = 2(r + -9) + -1
15 + 3r + (-4 + 2r) = 2(r + -9) + -1

Reorder the terms:
15 + -4 + 3r + 2r = 2(r + -9) + -1

Combine like terms: 15 + -4 = 11
11 + 3r + 2r = 2(r + -9) + -1

Combine like terms: 3r + 2r = 5r
11 + 5r = 2(r + -9) + -1

Reorder the terms:
11 + 5r = 2(-9 + r) + -1
11 + 5r = (-9 * 2 + r * 2) + -1
11 + 5r = (-18 + 2r) + -1

Reorder the terms:
11 + 5r = -18 + -1 + 2r

Combine like terms: -18 + -1 = -19
11 + 5r = -19 + 2r

Solving
11 + 5r = -19 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
11 + 5r + -2r = -19 + 2r + -2r

Combine like terms: 5r + -2r = 3r
11 + 3r = -19 + 2r + -2r

Combine like terms: 2r + -2r = 0
11 + 3r = -19 + 0
11 + 3r = -19

Add '-11' to each side of the equation.
11 + -11 + 3r = -19 + -11

Combine like terms: 11 + -11 = 0
0 + 3r = -19 + -11
3r = -19 + -11

Combine like terms: -19 + -11 = -30
3r = -30

Divide each side by '3'.
r = -10

Simplifying
r = -10

See similar equations:

| 8(s+1)+4s+6=6(s+3)+2 | | 5x^2-8=0 | | 2(5y-2)-22=11y-(3y+6) | | 32x^2-7x-12=0 | | 15x+3=7x-3 | | -24x^2+10x+56=0 | | 2-5(n+3)=-28 | | (2x-3)-x=15-(x+4) | | 18x^2+13x-21=0 | | 4x^6-19x^4+17x^3= | | 2x+y=19 | | 17x-23=32+48 | | -4x-2y=20 | | a-5=3(a+1) | | 2x+2y=10 | | x-3y=1 | | 3x-2y=-8 | | x(5x+18)=8 | | x^2-49=48x | | -4x-3y=5 | | x^2+3x+7=5 | | 2(5y-5)=9(2y-b) | | x^2+2x=2 | | 3w+2=2-10w | | 4(5y-(y-1))=7(y-2) | | 5p=35 | | 7y^2=-4y | | 2(x+3)=-18 | | 2(3x+2)=-18 | | 2(3x+2)=20 | | y^2=13y+1 | | M^2-144=0 |

Equations solver categories