2u-7=5(1+u)

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Solution for 2u-7=5(1+u) equation:


Simplifying
2u + -7 = 5(1 + u)

Reorder the terms:
-7 + 2u = 5(1 + u)
-7 + 2u = (1 * 5 + u * 5)
-7 + 2u = (5 + 5u)

Solving
-7 + 2u = 5 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
-7 + 2u + -5u = 5 + 5u + -5u

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

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

Add '7' to each side of the equation.
-7 + 7 + -3u = 5 + 7

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

Combine like terms: 5 + 7 = 12
-3u = 12

Divide each side by '-3'.
u = -4

Simplifying
u = -4

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