3r+2(r+7)=3(r+2)

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Solution for 3r+2(r+7)=3(r+2) equation:


Simplifying
3r + 2(r + 7) = 3(r + 2)

Reorder the terms:
3r + 2(7 + r) = 3(r + 2)
3r + (7 * 2 + r * 2) = 3(r + 2)
3r + (14 + 2r) = 3(r + 2)

Reorder the terms:
14 + 3r + 2r = 3(r + 2)

Combine like terms: 3r + 2r = 5r
14 + 5r = 3(r + 2)

Reorder the terms:
14 + 5r = 3(2 + r)
14 + 5r = (2 * 3 + r * 3)
14 + 5r = (6 + 3r)

Solving
14 + 5r = 6 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
14 + 5r + -3r = 6 + 3r + -3r

Combine like terms: 5r + -3r = 2r
14 + 2r = 6 + 3r + -3r

Combine like terms: 3r + -3r = 0
14 + 2r = 6 + 0
14 + 2r = 6

Add '-14' to each side of the equation.
14 + -14 + 2r = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 2r = 6 + -14
2r = 6 + -14

Combine like terms: 6 + -14 = -8
2r = -8

Divide each side by '2'.
r = -4

Simplifying
r = -4

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