3(4r-7)=7r-36

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Solution for 3(4r-7)=7r-36 equation:


Simplifying
3(4r + -7) = 7r + -36

Reorder the terms:
3(-7 + 4r) = 7r + -36
(-7 * 3 + 4r * 3) = 7r + -36
(-21 + 12r) = 7r + -36

Reorder the terms:
-21 + 12r = -36 + 7r

Solving
-21 + 12r = -36 + 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.
-21 + 12r + -7r = -36 + 7r + -7r

Combine like terms: 12r + -7r = 5r
-21 + 5r = -36 + 7r + -7r

Combine like terms: 7r + -7r = 0
-21 + 5r = -36 + 0
-21 + 5r = -36

Add '21' to each side of the equation.
-21 + 21 + 5r = -36 + 21

Combine like terms: -21 + 21 = 0
0 + 5r = -36 + 21
5r = -36 + 21

Combine like terms: -36 + 21 = -15
5r = -15

Divide each side by '5'.
r = -3

Simplifying
r = -3

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