-2(r-1)+7=3(r+5)

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Solution for -2(r-1)+7=3(r+5) equation:


Simplifying
-2(r + -1) + 7 = 3(r + 5)

Reorder the terms:
-2(-1 + r) + 7 = 3(r + 5)
(-1 * -2 + r * -2) + 7 = 3(r + 5)
(2 + -2r) + 7 = 3(r + 5)

Reorder the terms:
2 + 7 + -2r = 3(r + 5)

Combine like terms: 2 + 7 = 9
9 + -2r = 3(r + 5)

Reorder the terms:
9 + -2r = 3(5 + r)
9 + -2r = (5 * 3 + r * 3)
9 + -2r = (15 + 3r)

Solving
9 + -2r = 15 + 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.
9 + -2r + -3r = 15 + 3r + -3r

Combine like terms: -2r + -3r = -5r
9 + -5r = 15 + 3r + -3r

Combine like terms: 3r + -3r = 0
9 + -5r = 15 + 0
9 + -5r = 15

Add '-9' to each side of the equation.
9 + -9 + -5r = 15 + -9

Combine like terms: 9 + -9 = 0
0 + -5r = 15 + -9
-5r = 15 + -9

Combine like terms: 15 + -9 = 6
-5r = 6

Divide each side by '-5'.
r = -1.2

Simplifying
r = -1.2

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