7+2r-4=8r+17-4r

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Solution for 7+2r-4=8r+17-4r equation:


Simplifying
7 + 2r + -4 = 8r + 17 + -4r

Reorder the terms:
7 + -4 + 2r = 8r + 17 + -4r

Combine like terms: 7 + -4 = 3
3 + 2r = 8r + 17 + -4r

Reorder the terms:
3 + 2r = 17 + 8r + -4r

Combine like terms: 8r + -4r = 4r
3 + 2r = 17 + 4r

Solving
3 + 2r = 17 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
3 + 2r + -4r = 17 + 4r + -4r

Combine like terms: 2r + -4r = -2r
3 + -2r = 17 + 4r + -4r

Combine like terms: 4r + -4r = 0
3 + -2r = 17 + 0
3 + -2r = 17

Add '-3' to each side of the equation.
3 + -3 + -2r = 17 + -3

Combine like terms: 3 + -3 = 0
0 + -2r = 17 + -3
-2r = 17 + -3

Combine like terms: 17 + -3 = 14
-2r = 14

Divide each side by '-2'.
r = -7

Simplifying
r = -7

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