5(3r-2)=2(r+8)

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Solution for 5(3r-2)=2(r+8) equation:


Simplifying
5(3r + -2) = 2(r + 8)

Reorder the terms:
5(-2 + 3r) = 2(r + 8)
(-2 * 5 + 3r * 5) = 2(r + 8)
(-10 + 15r) = 2(r + 8)

Reorder the terms:
-10 + 15r = 2(8 + r)
-10 + 15r = (8 * 2 + r * 2)
-10 + 15r = (16 + 2r)

Solving
-10 + 15r = 16 + 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.
-10 + 15r + -2r = 16 + 2r + -2r

Combine like terms: 15r + -2r = 13r
-10 + 13r = 16 + 2r + -2r

Combine like terms: 2r + -2r = 0
-10 + 13r = 16 + 0
-10 + 13r = 16

Add '10' to each side of the equation.
-10 + 10 + 13r = 16 + 10

Combine like terms: -10 + 10 = 0
0 + 13r = 16 + 10
13r = 16 + 10

Combine like terms: 16 + 10 = 26
13r = 26

Divide each side by '13'.
r = 2

Simplifying
r = 2

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