3(2u-3)+8u=6(u-4)+3u

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Solution for 3(2u-3)+8u=6(u-4)+3u equation:


Simplifying
3(2u + -3) + 8u = 6(u + -4) + 3u

Reorder the terms:
3(-3 + 2u) + 8u = 6(u + -4) + 3u
(-3 * 3 + 2u * 3) + 8u = 6(u + -4) + 3u
(-9 + 6u) + 8u = 6(u + -4) + 3u

Combine like terms: 6u + 8u = 14u
-9 + 14u = 6(u + -4) + 3u

Reorder the terms:
-9 + 14u = 6(-4 + u) + 3u
-9 + 14u = (-4 * 6 + u * 6) + 3u
-9 + 14u = (-24 + 6u) + 3u

Combine like terms: 6u + 3u = 9u
-9 + 14u = -24 + 9u

Solving
-9 + 14u = -24 + 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.
-9 + 14u + -9u = -24 + 9u + -9u

Combine like terms: 14u + -9u = 5u
-9 + 5u = -24 + 9u + -9u

Combine like terms: 9u + -9u = 0
-9 + 5u = -24 + 0
-9 + 5u = -24

Add '9' to each side of the equation.
-9 + 9 + 5u = -24 + 9

Combine like terms: -9 + 9 = 0
0 + 5u = -24 + 9
5u = -24 + 9

Combine like terms: -24 + 9 = -15
5u = -15

Divide each side by '5'.
u = -3

Simplifying
u = -3

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