2(r+5)=4(r-1)

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Solution for 2(r+5)=4(r-1) equation: 


Simplifying
2(r + 5) = 4(r + -1)

Reorder the terms:
2(5 + r) = 4(r + -1)
(5 * 2 + r * 2) = 4(r + -1)
(10 + 2r) = 4(r + -1)

Reorder the terms:
10 + 2r = 4(-1 + r)
10 + 2r = (-1 * 4 + r * 4)
10 + 2r = (-4 + 4r)

Solving
10 + 2r = -4 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
10 + 2r + -4r = -4 + 4r + -4r

Combine like terms: 2r + -4r = -2r
10 + -2r = -4 + 4r + -4r

Combine like terms: 4r + -4r = 0
10 + -2r = -4 + 0
10 + -2r = -4

Add '-10' to each side of the equation.
10 + -10 + -2r = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -2r = -4 + -10
-2r = -4 + -10

Combine like terms: -4 + -10 = -14
-2r = -14

Divide each side by '-2'.
r = 7

Simplifying
r = 7

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