3u-5+2(4u+3)=-7(u+2)

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Solution for 3u-5+2(4u+3)=-7(u+2) equation:


Simplifying
3u + -5 + 2(4u + 3) = -7(u + 2)

Reorder the terms:
3u + -5 + 2(3 + 4u) = -7(u + 2)
3u + -5 + (3 * 2 + 4u * 2) = -7(u + 2)
3u + -5 + (6 + 8u) = -7(u + 2)

Reorder the terms:
-5 + 6 + 3u + 8u = -7(u + 2)

Combine like terms: -5 + 6 = 1
1 + 3u + 8u = -7(u + 2)

Combine like terms: 3u + 8u = 11u
1 + 11u = -7(u + 2)

Reorder the terms:
1 + 11u = -7(2 + u)
1 + 11u = (2 * -7 + u * -7)
1 + 11u = (-14 + -7u)

Solving
1 + 11u = -14 + -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.
1 + 11u + 7u = -14 + -7u + 7u

Combine like terms: 11u + 7u = 18u
1 + 18u = -14 + -7u + 7u

Combine like terms: -7u + 7u = 0
1 + 18u = -14 + 0
1 + 18u = -14

Add '-1' to each side of the equation.
1 + -1 + 18u = -14 + -1

Combine like terms: 1 + -1 = 0
0 + 18u = -14 + -1
18u = -14 + -1

Combine like terms: -14 + -1 = -15
18u = -15

Divide each side by '18'.
u = -0.8333333333

Simplifying
u = -0.8333333333

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