2r+5=3.5r+2

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Solution for 2r+5=3.5r+2 equation:


Simplifying
2r + 5 = 3.5r + 2

Reorder the terms:
5 + 2r = 3.5r + 2

Reorder the terms:
5 + 2r = 2 + 3.5r

Solving
5 + 2r = 2 + 3.5r

Solving for variable 'r'.

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

Add '-3.5r' to each side of the equation.
5 + 2r + -3.5r = 2 + 3.5r + -3.5r

Combine like terms: 2r + -3.5r = -1.5r
5 + -1.5r = 2 + 3.5r + -3.5r

Combine like terms: 3.5r + -3.5r = 0.0
5 + -1.5r = 2 + 0.0
5 + -1.5r = 2

Add '-5' to each side of the equation.
5 + -5 + -1.5r = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -1.5r = 2 + -5
-1.5r = 2 + -5

Combine like terms: 2 + -5 = -3
-1.5r = -3

Divide each side by '-1.5'.
r = 2

Simplifying
r = 2

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