5(r-2)=3r-4

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


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

Reorder the terms:
5(-2 + r) = 3r + -4
(-2 * 5 + r * 5) = 3r + -4
(-10 + 5r) = 3r + -4

Reorder the terms:
-10 + 5r = -4 + 3r

Solving
-10 + 5r = -4 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-10 + 5r + -3r = -4 + 3r + -3r

Combine like terms: 5r + -3r = 2r
-10 + 2r = -4 + 3r + -3r

Combine like terms: 3r + -3r = 0
-10 + 2r = -4 + 0
-10 + 2r = -4

Add '10' to each side of the equation.
-10 + 10 + 2r = -4 + 10

Combine like terms: -10 + 10 = 0
0 + 2r = -4 + 10
2r = -4 + 10

Combine like terms: -4 + 10 = 6
2r = 6

Divide each side by '2'.
r = 3

Simplifying
r = 3

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