3r-10=2r-3

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Solution for 3r-10=2r-3 equation:


Simplifying
3r + -10 = 2r + -3

Reorder the terms:
-10 + 3r = 2r + -3

Reorder the terms:
-10 + 3r = -3 + 2r

Solving
-10 + 3r = -3 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-10 + 3r + -2r = -3 + 2r + -2r

Combine like terms: 3r + -2r = 1r
-10 + 1r = -3 + 2r + -2r

Combine like terms: 2r + -2r = 0
-10 + 1r = -3 + 0
-10 + 1r = -3

Add '10' to each side of the equation.
-10 + 10 + 1r = -3 + 10

Combine like terms: -10 + 10 = 0
0 + 1r = -3 + 10
1r = -3 + 10

Combine like terms: -3 + 10 = 7
1r = 7

Divide each side by '1'.
r = 7

Simplifying
r = 7

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