3r+17=2(r-4)

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Solution for 3r+17=2(r-4) equation:


Simplifying
3r + 17 = 2(r + -4)

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

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

Solving
17 + 3r = -8 + 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.
17 + 3r + -2r = -8 + 2r + -2r

Combine like terms: 3r + -2r = 1r
17 + 1r = -8 + 2r + -2r

Combine like terms: 2r + -2r = 0
17 + 1r = -8 + 0
17 + 1r = -8

Add '-17' to each side of the equation.
17 + -17 + 1r = -8 + -17

Combine like terms: 17 + -17 = 0
0 + 1r = -8 + -17
1r = -8 + -17

Combine like terms: -8 + -17 = -25
1r = -25

Divide each side by '1'.
r = -25

Simplifying
r = -25

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