5(r-1)=7+2r

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Solution for 5(r-1)=7+2r equation:


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

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

Solving
-5 + 5r = 7 + 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.
-5 + 5r + -2r = 7 + 2r + -2r

Combine like terms: 5r + -2r = 3r
-5 + 3r = 7 + 2r + -2r

Combine like terms: 2r + -2r = 0
-5 + 3r = 7 + 0
-5 + 3r = 7

Add '5' to each side of the equation.
-5 + 5 + 3r = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 3r = 7 + 5
3r = 7 + 5

Combine like terms: 7 + 5 = 12
3r = 12

Divide each side by '3'.
r = 4

Simplifying
r = 4

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