5r-4=2r+6

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Solution for 5r-4=2r+6 equation:


Simplifying
5r + -4 = 2r + 6

Reorder the terms:
-4 + 5r = 2r + 6

Reorder the terms:
-4 + 5r = 6 + 2r

Solving
-4 + 5r = 6 + 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.
-4 + 5r + -2r = 6 + 2r + -2r

Combine like terms: 5r + -2r = 3r
-4 + 3r = 6 + 2r + -2r

Combine like terms: 2r + -2r = 0
-4 + 3r = 6 + 0
-4 + 3r = 6

Add '4' to each side of the equation.
-4 + 4 + 3r = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 3r = 6 + 4
3r = 6 + 4

Combine like terms: 6 + 4 = 10
3r = 10

Divide each side by '3'.
r = 3.333333333

Simplifying
r = 3.333333333

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