3(1u-2)+5=2(3u-5)

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Solution for 3(1u-2)+5=2(3u-5) equation:


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

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

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

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

Reorder the terms:
-1 + 3u = 2(-5 + 3u)
-1 + 3u = (-5 * 2 + 3u * 2)
-1 + 3u = (-10 + 6u)

Solving
-1 + 3u = -10 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
-1 + 3u + -6u = -10 + 6u + -6u

Combine like terms: 3u + -6u = -3u
-1 + -3u = -10 + 6u + -6u

Combine like terms: 6u + -6u = 0
-1 + -3u = -10 + 0
-1 + -3u = -10

Add '1' to each side of the equation.
-1 + 1 + -3u = -10 + 1

Combine like terms: -1 + 1 = 0
0 + -3u = -10 + 1
-3u = -10 + 1

Combine like terms: -10 + 1 = -9
-3u = -9

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

Simplifying
u = 3

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