2(r-5)=7(2r-3)-1

Simple and best practice solution for 2(r-5)=7(2r-3)-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 2(r-5)=7(2r-3)-1 equation: 


Simplifying
2(r + -5) = 7(2r + -3) + -1

Reorder the terms:
2(-5 + r) = 7(2r + -3) + -1
(-5 * 2 + r * 2) = 7(2r + -3) + -1
(-10 + 2r) = 7(2r + -3) + -1

Reorder the terms:
-10 + 2r = 7(-3 + 2r) + -1
-10 + 2r = (-3 * 7 + 2r * 7) + -1
-10 + 2r = (-21 + 14r) + -1

Reorder the terms:
-10 + 2r = -21 + -1 + 14r

Combine like terms: -21 + -1 = -22
-10 + 2r = -22 + 14r

Solving
-10 + 2r = -22 + 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
-10 + 2r + -14r = -22 + 14r + -14r

Combine like terms: 2r + -14r = -12r
-10 + -12r = -22 + 14r + -14r

Combine like terms: 14r + -14r = 0
-10 + -12r = -22 + 0
-10 + -12r = -22

Add '10' to each side of the equation.
-10 + 10 + -12r = -22 + 10

Combine like terms: -10 + 10 = 0
0 + -12r = -22 + 10
-12r = -22 + 10

Combine like terms: -22 + 10 = -12
-12r = -12

Divide each side by '-12'.
r = 1

Simplifying
r = 1

See similar equations:

| 6t^2+10t-18=0 | | 18(2/3-4x) | | 4cos(2x)-2sin(x)-3=0 | | 4/5*2=0 | | 63-x= | | 78-2x=63-x | | f(x)=x^4-8x^3/3 | | v+-2=16 | | 3x+5+3x-5=180 | | 14+n=-15 | | 60=7x+x^2 | | 20/48 | | 2(4q+3)=5(2q-6) | | 0=6x^2-24x+1 | | 17x+24=3 | | y=x(x+2)-3x | | 5+8=11 | | 25z+40z+16= | | 4[x-2]=10 | | 2x^2=28-1x | | v=14-(-9.81)(0.2) | | 2x-3x+4x-5+5x= | | 7x+15=9x+23 | | 0.80x+0.60(30)=0.40(45) | | 6P-2=10 | | 2x-5+10=0 | | -x+1=9x+2 | | 3.14*x^2=80 | | 48x^3=0 | | 30n+120n+1000= | | 2cosx+3cosx-2=0 | | -2(4s-4)-8=-2(6s+3)-2 |

Equations solver categories