3(4r+14)=10r-2(r-7)

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Solution for 3(4r+14)=10r-2(r-7) equation:


Simplifying
3(4r + 14) = 10r + -2(r + -7)

Reorder the terms:
3(14 + 4r) = 10r + -2(r + -7)
(14 * 3 + 4r * 3) = 10r + -2(r + -7)
(42 + 12r) = 10r + -2(r + -7)

Reorder the terms:
42 + 12r = 10r + -2(-7 + r)
42 + 12r = 10r + (-7 * -2 + r * -2)
42 + 12r = 10r + (14 + -2r)

Reorder the terms:
42 + 12r = 14 + 10r + -2r

Combine like terms: 10r + -2r = 8r
42 + 12r = 14 + 8r

Solving
42 + 12r = 14 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
42 + 12r + -8r = 14 + 8r + -8r

Combine like terms: 12r + -8r = 4r
42 + 4r = 14 + 8r + -8r

Combine like terms: 8r + -8r = 0
42 + 4r = 14 + 0
42 + 4r = 14

Add '-42' to each side of the equation.
42 + -42 + 4r = 14 + -42

Combine like terms: 42 + -42 = 0
0 + 4r = 14 + -42
4r = 14 + -42

Combine like terms: 14 + -42 = -28
4r = -28

Divide each side by '4'.
r = -7

Simplifying
r = -7

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