2u+3=7u-2

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


Simplifying
2u + 3 = 7u + -2

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

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

Solving
3 + 2u = -2 + 7u

Solving for variable 'u'.

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

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

Combine like terms: 2u + -7u = -5u
3 + -5u = -2 + 7u + -7u

Combine like terms: 7u + -7u = 0
3 + -5u = -2 + 0
3 + -5u = -2

Add '-3' to each side of the equation.
3 + -3 + -5u = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -5u = -2 + -3
-5u = -2 + -3

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

Divide each side by '-5'.
u = 1

Simplifying
u = 1

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