3(2u-5)=2(3u+4)-(u+8)

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Solution for 3(2u-5)=2(3u+4)-(u+8) equation:


Simplifying
3(2u + -5) = 2(3u + 4) + -1(u + 8)

Reorder the terms:
3(-5 + 2u) = 2(3u + 4) + -1(u + 8)
(-5 * 3 + 2u * 3) = 2(3u + 4) + -1(u + 8)
(-15 + 6u) = 2(3u + 4) + -1(u + 8)

Reorder the terms:
-15 + 6u = 2(4 + 3u) + -1(u + 8)
-15 + 6u = (4 * 2 + 3u * 2) + -1(u + 8)
-15 + 6u = (8 + 6u) + -1(u + 8)

Reorder the terms:
-15 + 6u = 8 + 6u + -1(8 + u)
-15 + 6u = 8 + 6u + (8 * -1 + u * -1)
-15 + 6u = 8 + 6u + (-8 + -1u)

Reorder the terms:
-15 + 6u = 8 + -8 + 6u + -1u

Combine like terms: 8 + -8 = 0
-15 + 6u = 0 + 6u + -1u
-15 + 6u = 6u + -1u

Combine like terms: 6u + -1u = 5u
-15 + 6u = 5u

Solving
-15 + 6u = 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
-15 + 6u + -5u = 5u + -5u

Combine like terms: 6u + -5u = 1u
-15 + 1u = 5u + -5u

Combine like terms: 5u + -5u = 0
-15 + 1u = 0

Add '15' to each side of the equation.
-15 + 15 + 1u = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 1u = 0 + 15
1u = 0 + 15

Combine like terms: 0 + 15 = 15
1u = 15

Divide each side by '1'.
u = 15

Simplifying
u = 15

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