3r-1=7r+2

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Solution for 3r-1=7r+2 equation:


Simplifying
3r + -1 = 7r + 2

Reorder the terms:
-1 + 3r = 7r + 2

Reorder the terms:
-1 + 3r = 2 + 7r

Solving
-1 + 3r = 2 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
-1 + 3r + -7r = 2 + 7r + -7r

Combine like terms: 3r + -7r = -4r
-1 + -4r = 2 + 7r + -7r

Combine like terms: 7r + -7r = 0
-1 + -4r = 2 + 0
-1 + -4r = 2

Add '1' to each side of the equation.
-1 + 1 + -4r = 2 + 1

Combine like terms: -1 + 1 = 0
0 + -4r = 2 + 1
-4r = 2 + 1

Combine like terms: 2 + 1 = 3
-4r = 3

Divide each side by '-4'.
r = -0.75

Simplifying
r = -0.75

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