2u+19=7(u-3)

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Solution for 2u+19=7(u-3) equation:


Simplifying
2u + 19 = 7(u + -3)

Reorder the terms:
19 + 2u = 7(u + -3)

Reorder the terms:
19 + 2u = 7(-3 + u)
19 + 2u = (-3 * 7 + u * 7)
19 + 2u = (-21 + 7u)

Solving
19 + 2u = -21 + 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.
19 + 2u + -7u = -21 + 7u + -7u

Combine like terms: 2u + -7u = -5u
19 + -5u = -21 + 7u + -7u

Combine like terms: 7u + -7u = 0
19 + -5u = -21 + 0
19 + -5u = -21

Add '-19' to each side of the equation.
19 + -19 + -5u = -21 + -19

Combine like terms: 19 + -19 = 0
0 + -5u = -21 + -19
-5u = -21 + -19

Combine like terms: -21 + -19 = -40
-5u = -40

Divide each side by '-5'.
u = 8

Simplifying
u = 8

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