8r+4(r-7)=2(3r+10)

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Solution for 8r+4(r-7)=2(3r+10) equation:


Simplifying
8r + 4(r + -7) = 2(3r + 10)

Reorder the terms:
8r + 4(-7 + r) = 2(3r + 10)
8r + (-7 * 4 + r * 4) = 2(3r + 10)
8r + (-28 + 4r) = 2(3r + 10)

Reorder the terms:
-28 + 8r + 4r = 2(3r + 10)

Combine like terms: 8r + 4r = 12r
-28 + 12r = 2(3r + 10)

Reorder the terms:
-28 + 12r = 2(10 + 3r)
-28 + 12r = (10 * 2 + 3r * 2)
-28 + 12r = (20 + 6r)

Solving
-28 + 12r = 20 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
-28 + 12r + -6r = 20 + 6r + -6r

Combine like terms: 12r + -6r = 6r
-28 + 6r = 20 + 6r + -6r

Combine like terms: 6r + -6r = 0
-28 + 6r = 20 + 0
-28 + 6r = 20

Add '28' to each side of the equation.
-28 + 28 + 6r = 20 + 28

Combine like terms: -28 + 28 = 0
0 + 6r = 20 + 28
6r = 20 + 28

Combine like terms: 20 + 28 = 48
6r = 48

Divide each side by '6'.
r = 8

Simplifying
r = 8

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