13-(r+3)=2(r-2)+5

Simple and best practice solution for 13-(r+3)=2(r-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 13-(r+3)=2(r-2)+5 equation: 


Simplifying
13 + -1(r + 3) = 2(r + -2) + 5

Reorder the terms:
13 + -1(3 + r) = 2(r + -2) + 5
13 + (3 * -1 + r * -1) = 2(r + -2) + 5
13 + (-3 + -1r) = 2(r + -2) + 5

Combine like terms: 13 + -3 = 10
10 + -1r = 2(r + -2) + 5

Reorder the terms:
10 + -1r = 2(-2 + r) + 5
10 + -1r = (-2 * 2 + r * 2) + 5
10 + -1r = (-4 + 2r) + 5

Reorder the terms:
10 + -1r = -4 + 5 + 2r

Combine like terms: -4 + 5 = 1
10 + -1r = 1 + 2r

Solving
10 + -1r = 1 + 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.
10 + -1r + -2r = 1 + 2r + -2r

Combine like terms: -1r + -2r = -3r
10 + -3r = 1 + 2r + -2r

Combine like terms: 2r + -2r = 0
10 + -3r = 1 + 0
10 + -3r = 1

Add '-10' to each side of the equation.
10 + -10 + -3r = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -3r = 1 + -10
-3r = 1 + -10

Combine like terms: 1 + -10 = -9
-3r = -9

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

Simplifying
r = 3

See similar equations:

| 5x+11=9x+9 | | Y=-x(-1)+12 | | x-8=12-3x | | 2y+11= | | W-9.18G=0 | | x^2+18x+27=5x+5 | | x^5-7x^4+9x^3=0 | | 97x+64+27=180 | | 3n+3=7 | | -6(4+8z)=35 | | Y=8-0-4 | | Solve(a+6)2=49 | | -7(2+n)=-21 | | 7x+2(3--3x)=1 | | -7(2+n)=-2 | | 27+300dg= | | 7n+8n-5=2 | | 8t+14+5t=-12 | | 7p-6q-4p-q= | | 37g+300dg= | | y=-6cos(2x) | | 55+54+74+x=180 | | Ln(x-3)-lnx=ln(5x) | | 5+-6-3x=10x+15+3x | | 10x+21(x-2)=392 | | 91=2x^2+7x+6 | | 10x+21(x-2)=392solve | | 4x+7=-6x-4-2x | | 5n^2+2n+14n=3n^2-4(5n) | | y-6x=-42 | | -148+x=113-8x | | -x^4+2x^3+x^2=0 |

Equations solver categories