2(r-1)=3r-5

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Solution for 2(r-1)=3r-5 equation:


Simplifying
2(r + -1) = 3r + -5

Reorder the terms:
2(-1 + r) = 3r + -5
(-1 * 2 + r * 2) = 3r + -5
(-2 + 2r) = 3r + -5

Reorder the terms:
-2 + 2r = -5 + 3r

Solving
-2 + 2r = -5 + 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.
-2 + 2r + -3r = -5 + 3r + -3r

Combine like terms: 2r + -3r = -1r
-2 + -1r = -5 + 3r + -3r

Combine like terms: 3r + -3r = 0
-2 + -1r = -5 + 0
-2 + -1r = -5

Add '2' to each side of the equation.
-2 + 2 + -1r = -5 + 2

Combine like terms: -2 + 2 = 0
0 + -1r = -5 + 2
-1r = -5 + 2

Combine like terms: -5 + 2 = -3
-1r = -3

Divide each side by '-1'.
r = 3

Simplifying
r = 3

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