3*r-2+7=2*4r-5+1

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Solution for 3*r-2+7=2*4r-5+1 equation: 


Simplifying
3r + -2 + 7 = 2 * 4r + -5 + 1

Reorder the terms:
-2 + 7 + 3r = 2 * 4r + -5 + 1

Combine like terms: -2 + 7 = 5
5 + 3r = 2 * 4r + -5 + 1

Multiply 2 * 4
5 + 3r = 8r + -5 + 1

Reorder the terms:
5 + 3r = -5 + 1 + 8r

Combine like terms: -5 + 1 = -4
5 + 3r = -4 + 8r

Solving
5 + 3r = -4 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
5 + 3r + -8r = -4 + 8r + -8r

Combine like terms: 3r + -8r = -5r
5 + -5r = -4 + 8r + -8r

Combine like terms: 8r + -8r = 0
5 + -5r = -4 + 0
5 + -5r = -4

Add '-5' to each side of the equation.
5 + -5 + -5r = -4 + -5

Combine like terms: 5 + -5 = 0
0 + -5r = -4 + -5
-5r = -4 + -5

Combine like terms: -4 + -5 = -9
-5r = -9

Divide each side by '-5'.
r = 1.8

Simplifying
r = 1.8

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