7(r-1)-3=2r+5

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Solution for 7(r-1)-3=2r+5 equation:


Simplifying
7(r + -1) + -3 = 2r + 5

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

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

Combine like terms: -7 + -3 = -10
-10 + 7r = 2r + 5

Reorder the terms:
-10 + 7r = 5 + 2r

Solving
-10 + 7r = 5 + 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 + 7r + -2r = 5 + 2r + -2r

Combine like terms: 7r + -2r = 5r
-10 + 5r = 5 + 2r + -2r

Combine like terms: 2r + -2r = 0
-10 + 5r = 5 + 0
-10 + 5r = 5

Add '10' to each side of the equation.
-10 + 10 + 5r = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 5r = 5 + 10
5r = 5 + 10

Combine like terms: 5 + 10 = 15
5r = 15

Divide each side by '5'.
r = 3

Simplifying
r = 3

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