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

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


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

Reorder the terms:
5(-4 + 3r) = 2(4r + -3)
(-4 * 5 + 3r * 5) = 2(4r + -3)
(-20 + 15r) = 2(4r + -3)

Reorder the terms:
-20 + 15r = 2(-3 + 4r)
-20 + 15r = (-3 * 2 + 4r * 2)
-20 + 15r = (-6 + 8r)

Solving
-20 + 15r = -6 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-20 + 15r + -8r = -6 + 8r + -8r

Combine like terms: 15r + -8r = 7r
-20 + 7r = -6 + 8r + -8r

Combine like terms: 8r + -8r = 0
-20 + 7r = -6 + 0
-20 + 7r = -6

Add '20' to each side of the equation.
-20 + 20 + 7r = -6 + 20

Combine like terms: -20 + 20 = 0
0 + 7r = -6 + 20
7r = -6 + 20

Combine like terms: -6 + 20 = 14
7r = 14

Divide each side by '7'.
r = 2

Simplifying
r = 2

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