3(2u-6)-8=7u-50+2u

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Solution for 3(2u-6)-8=7u-50+2u equation:


Simplifying
3(2u + -6) + -8 = 7u + -50 + 2u

Reorder the terms:
3(-6 + 2u) + -8 = 7u + -50 + 2u
(-6 * 3 + 2u * 3) + -8 = 7u + -50 + 2u
(-18 + 6u) + -8 = 7u + -50 + 2u

Reorder the terms:
-18 + -8 + 6u = 7u + -50 + 2u

Combine like terms: -18 + -8 = -26
-26 + 6u = 7u + -50 + 2u

Reorder the terms:
-26 + 6u = -50 + 7u + 2u

Combine like terms: 7u + 2u = 9u
-26 + 6u = -50 + 9u

Solving
-26 + 6u = -50 + 9u

Solving for variable 'u'.

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

Add '-9u' to each side of the equation.
-26 + 6u + -9u = -50 + 9u + -9u

Combine like terms: 6u + -9u = -3u
-26 + -3u = -50 + 9u + -9u

Combine like terms: 9u + -9u = 0
-26 + -3u = -50 + 0
-26 + -3u = -50

Add '26' to each side of the equation.
-26 + 26 + -3u = -50 + 26

Combine like terms: -26 + 26 = 0
0 + -3u = -50 + 26
-3u = -50 + 26

Combine like terms: -50 + 26 = -24
-3u = -24

Divide each side by '-3'.
u = 8

Simplifying
u = 8

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