3u-9+2(2u+3)=-7(u+3)

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Solution for 3u-9+2(2u+3)=-7(u+3) equation:


Simplifying
3u + -9 + 2(2u + 3) = -7(u + 3)

Reorder the terms:
3u + -9 + 2(3 + 2u) = -7(u + 3)
3u + -9 + (3 * 2 + 2u * 2) = -7(u + 3)
3u + -9 + (6 + 4u) = -7(u + 3)

Reorder the terms:
-9 + 6 + 3u + 4u = -7(u + 3)

Combine like terms: -9 + 6 = -3
-3 + 3u + 4u = -7(u + 3)

Combine like terms: 3u + 4u = 7u
-3 + 7u = -7(u + 3)

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

Solving
-3 + 7u = -21 + -7u

Solving for variable 'u'.

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

Add '7u' to each side of the equation.
-3 + 7u + 7u = -21 + -7u + 7u

Combine like terms: 7u + 7u = 14u
-3 + 14u = -21 + -7u + 7u

Combine like terms: -7u + 7u = 0
-3 + 14u = -21 + 0
-3 + 14u = -21

Add '3' to each side of the equation.
-3 + 3 + 14u = -21 + 3

Combine like terms: -3 + 3 = 0
0 + 14u = -21 + 3
14u = -21 + 3

Combine like terms: -21 + 3 = -18
14u = -18

Divide each side by '14'.
u = -1.285714286

Simplifying
u = -1.285714286

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