2r-4=5(r+7)

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Solution for 2r-4=5(r+7) equation:


Simplifying
2r + -4 = 5(r + 7)

Reorder the terms:
-4 + 2r = 5(r + 7)

Reorder the terms:
-4 + 2r = 5(7 + r)
-4 + 2r = (7 * 5 + r * 5)
-4 + 2r = (35 + 5r)

Solving
-4 + 2r = 35 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-4 + 2r + -5r = 35 + 5r + -5r

Combine like terms: 2r + -5r = -3r
-4 + -3r = 35 + 5r + -5r

Combine like terms: 5r + -5r = 0
-4 + -3r = 35 + 0
-4 + -3r = 35

Add '4' to each side of the equation.
-4 + 4 + -3r = 35 + 4

Combine like terms: -4 + 4 = 0
0 + -3r = 35 + 4
-3r = 35 + 4

Combine like terms: 35 + 4 = 39
-3r = 39

Divide each side by '-3'.
r = -13

Simplifying
r = -13

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