3u+7=4u-2

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Solution for 3u+7=4u-2 equation:


Simplifying
3u + 7 = 4u + -2

Reorder the terms:
7 + 3u = 4u + -2

Reorder the terms:
7 + 3u = -2 + 4u

Solving
7 + 3u = -2 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
7 + 3u + -4u = -2 + 4u + -4u

Combine like terms: 3u + -4u = -1u
7 + -1u = -2 + 4u + -4u

Combine like terms: 4u + -4u = 0
7 + -1u = -2 + 0
7 + -1u = -2

Add '-7' to each side of the equation.
7 + -7 + -1u = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -1u = -2 + -7
-1u = -2 + -7

Combine like terms: -2 + -7 = -9
-1u = -9

Divide each side by '-1'.
u = 9

Simplifying
u = 9

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