3(2r+4)=7r-5

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Solution for 3(2r+4)=7r-5 equation:


Simplifying
3(2r + 4) = 7r + -5

Reorder the terms:
3(4 + 2r) = 7r + -5
(4 * 3 + 2r * 3) = 7r + -5
(12 + 6r) = 7r + -5

Reorder the terms:
12 + 6r = -5 + 7r

Solving
12 + 6r = -5 + 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.
12 + 6r + -7r = -5 + 7r + -7r

Combine like terms: 6r + -7r = -1r
12 + -1r = -5 + 7r + -7r

Combine like terms: 7r + -7r = 0
12 + -1r = -5 + 0
12 + -1r = -5

Add '-12' to each side of the equation.
12 + -12 + -1r = -5 + -12

Combine like terms: 12 + -12 = 0
0 + -1r = -5 + -12
-1r = -5 + -12

Combine like terms: -5 + -12 = -17
-1r = -17

Divide each side by '-1'.
r = 17

Simplifying
r = 17

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