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

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


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

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

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

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

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

Solving
-1 + 3u = -4 + 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 = -4 + 6u + -6u

Combine like terms: 3u + -6u = -3u
-1 + -3u = -4 + 6u + -6u

Combine like terms: 6u + -6u = 0
-1 + -3u = -4 + 0
-1 + -3u = -4

Add '1' to each side of the equation.
-1 + 1 + -3u = -4 + 1

Combine like terms: -1 + 1 = 0
0 + -3u = -4 + 1
-3u = -4 + 1

Combine like terms: -4 + 1 = -3
-3u = -3

Divide each side by '-3'.
u = 1

Simplifying
u = 1

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