6(5r-7)=4(3r+7)

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Solution for 6(5r-7)=4(3r+7) equation:


Simplifying
6(5r + -7) = 4(3r + 7)

Reorder the terms:
6(-7 + 5r) = 4(3r + 7)
(-7 * 6 + 5r * 6) = 4(3r + 7)
(-42 + 30r) = 4(3r + 7)

Reorder the terms:
-42 + 30r = 4(7 + 3r)
-42 + 30r = (7 * 4 + 3r * 4)
-42 + 30r = (28 + 12r)

Solving
-42 + 30r = 28 + 12r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-12r' to each side of the equation.
-42 + 30r + -12r = 28 + 12r + -12r

Combine like terms: 30r + -12r = 18r
-42 + 18r = 28 + 12r + -12r

Combine like terms: 12r + -12r = 0
-42 + 18r = 28 + 0
-42 + 18r = 28

Add '42' to each side of the equation.
-42 + 42 + 18r = 28 + 42

Combine like terms: -42 + 42 = 0
0 + 18r = 28 + 42
18r = 28 + 42

Combine like terms: 28 + 42 = 70
18r = 70

Divide each side by '18'.
r = 3.888888889

Simplifying
r = 3.888888889

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