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

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


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

Reorder the terms:
3(-5 + 4r) = 2(7r + -3)
(-5 * 3 + 4r * 3) = 2(7r + -3)
(-15 + 12r) = 2(7r + -3)

Reorder the terms:
-15 + 12r = 2(-3 + 7r)
-15 + 12r = (-3 * 2 + 7r * 2)
-15 + 12r = (-6 + 14r)

Solving
-15 + 12r = -6 + 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
-15 + 12r + -14r = -6 + 14r + -14r

Combine like terms: 12r + -14r = -2r
-15 + -2r = -6 + 14r + -14r

Combine like terms: 14r + -14r = 0
-15 + -2r = -6 + 0
-15 + -2r = -6

Add '15' to each side of the equation.
-15 + 15 + -2r = -6 + 15

Combine like terms: -15 + 15 = 0
0 + -2r = -6 + 15
-2r = -6 + 15

Combine like terms: -6 + 15 = 9
-2r = 9

Divide each side by '-2'.
r = -4.5

Simplifying
r = -4.5

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