2(5+3r)=15+7r

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Solution for 2(5+3r)=15+7r equation:


Simplifying
2(5 + 3r) = 15 + 7r
(5 * 2 + 3r * 2) = 15 + 7r
(10 + 6r) = 15 + 7r

Solving
10 + 6r = 15 + 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.
10 + 6r + -7r = 15 + 7r + -7r

Combine like terms: 6r + -7r = -1r
10 + -1r = 15 + 7r + -7r

Combine like terms: 7r + -7r = 0
10 + -1r = 15 + 0
10 + -1r = 15

Add '-10' to each side of the equation.
10 + -10 + -1r = 15 + -10

Combine like terms: 10 + -10 = 0
0 + -1r = 15 + -10
-1r = 15 + -10

Combine like terms: 15 + -10 = 5
-1r = 5

Divide each side by '-1'.
r = -5

Simplifying
r = -5

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