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

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


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

Reorder the terms:
4(-4 + 3r) = 5(2r + -3)
(-4 * 4 + 3r * 4) = 5(2r + -3)
(-16 + 12r) = 5(2r + -3)

Reorder the terms:
-16 + 12r = 5(-3 + 2r)
-16 + 12r = (-3 * 5 + 2r * 5)
-16 + 12r = (-15 + 10r)

Solving
-16 + 12r = -15 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
-16 + 12r + -10r = -15 + 10r + -10r

Combine like terms: 12r + -10r = 2r
-16 + 2r = -15 + 10r + -10r

Combine like terms: 10r + -10r = 0
-16 + 2r = -15 + 0
-16 + 2r = -15

Add '16' to each side of the equation.
-16 + 16 + 2r = -15 + 16

Combine like terms: -16 + 16 = 0
0 + 2r = -15 + 16
2r = -15 + 16

Combine like terms: -15 + 16 = 1
2r = 1

Divide each side by '2'.
r = 0.5

Simplifying
r = 0.5

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