3r+2(r-1)=7(r+2)

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


Simplifying
3r + 2(r + -1) = 7(r + 2)

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

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

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

Reorder the terms:
-2 + 5r = 7(2 + r)
-2 + 5r = (2 * 7 + r * 7)
-2 + 5r = (14 + 7r)

Solving
-2 + 5r = 14 + 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.
-2 + 5r + -7r = 14 + 7r + -7r

Combine like terms: 5r + -7r = -2r
-2 + -2r = 14 + 7r + -7r

Combine like terms: 7r + -7r = 0
-2 + -2r = 14 + 0
-2 + -2r = 14

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

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

Combine like terms: 14 + 2 = 16
-2r = 16

Divide each side by '-2'.
r = -8

Simplifying
r = -8

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