3r-4.5r+2=r+7

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Solution for 3r-4.5r+2=r+7 equation: 


Simplifying
3r + -4.5r + 2 = r + 7

Reorder the terms:
2 + 3r + -4.5r = r + 7

Combine like terms: 3r + -4.5r = -1.5r
2 + -1.5r = r + 7

Reorder the terms:
2 + -1.5r = 7 + r

Solving
2 + -1.5r = 7 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
2 + -1.5r + -1r = 7 + r + -1r

Combine like terms: -1.5r + -1r = -2.5r
2 + -2.5r = 7 + r + -1r

Combine like terms: r + -1r = 0
2 + -2.5r = 7 + 0
2 + -2.5r = 7

Add '-2' to each side of the equation.
2 + -2 + -2.5r = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -2.5r = 7 + -2
-2.5r = 7 + -2

Combine like terms: 7 + -2 = 5
-2.5r = 5

Divide each side by '-2.5'.
r = -2

Simplifying
r = -2

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