4u+2=3u+5u-2

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


Simplifying
4u + 2 = 3u + 5u + -2

Reorder the terms:
2 + 4u = 3u + 5u + -2

Reorder the terms:
2 + 4u = -2 + 3u + 5u

Combine like terms: 3u + 5u = 8u
2 + 4u = -2 + 8u

Solving
2 + 4u = -2 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
2 + 4u + -8u = -2 + 8u + -8u

Combine like terms: 4u + -8u = -4u
2 + -4u = -2 + 8u + -8u

Combine like terms: 8u + -8u = 0
2 + -4u = -2 + 0
2 + -4u = -2

Add '-2' to each side of the equation.
2 + -2 + -4u = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -4u = -2 + -2
-4u = -2 + -2

Combine like terms: -2 + -2 = -4
-4u = -4

Divide each side by '-4'.
u = 1

Simplifying
u = 1

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