2r-11=7(r-3)

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Solution for 2r-11=7(r-3) equation:


Simplifying
2r + -11 = 7(r + -3)

Reorder the terms:
-11 + 2r = 7(r + -3)

Reorder the terms:
-11 + 2r = 7(-3 + r)
-11 + 2r = (-3 * 7 + r * 7)
-11 + 2r = (-21 + 7r)

Solving
-11 + 2r = -21 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
-11 + 2r + -7r = -21 + 7r + -7r

Combine like terms: 2r + -7r = -5r
-11 + -5r = -21 + 7r + -7r

Combine like terms: 7r + -7r = 0
-11 + -5r = -21 + 0
-11 + -5r = -21

Add '11' to each side of the equation.
-11 + 11 + -5r = -21 + 11

Combine like terms: -11 + 11 = 0
0 + -5r = -21 + 11
-5r = -21 + 11

Combine like terms: -21 + 11 = -10
-5r = -10

Divide each side by '-5'.
r = 2

Simplifying
r = 2

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