3(u-7)-1=-6(-2u+6)-u

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Solution for 3(u-7)-1=-6(-2u+6)-u equation:


Simplifying
3(u + -7) + -1 = -6(-2u + 6) + -1u

Reorder the terms:
3(-7 + u) + -1 = -6(-2u + 6) + -1u
(-7 * 3 + u * 3) + -1 = -6(-2u + 6) + -1u
(-21 + 3u) + -1 = -6(-2u + 6) + -1u

Reorder the terms:
-21 + -1 + 3u = -6(-2u + 6) + -1u

Combine like terms: -21 + -1 = -22
-22 + 3u = -6(-2u + 6) + -1u

Reorder the terms:
-22 + 3u = -6(6 + -2u) + -1u
-22 + 3u = (6 * -6 + -2u * -6) + -1u
-22 + 3u = (-36 + 12u) + -1u

Combine like terms: 12u + -1u = 11u
-22 + 3u = -36 + 11u

Solving
-22 + 3u = -36 + 11u

Solving for variable 'u'.

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

Add '-11u' to each side of the equation.
-22 + 3u + -11u = -36 + 11u + -11u

Combine like terms: 3u + -11u = -8u
-22 + -8u = -36 + 11u + -11u

Combine like terms: 11u + -11u = 0
-22 + -8u = -36 + 0
-22 + -8u = -36

Add '22' to each side of the equation.
-22 + 22 + -8u = -36 + 22

Combine like terms: -22 + 22 = 0
0 + -8u = -36 + 22
-8u = -36 + 22

Combine like terms: -36 + 22 = -14
-8u = -14

Divide each side by '-8'.
u = 1.75

Simplifying
u = 1.75

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