5(u-4)-3=-3(-2u+7)-7u

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Solution for 5(u-4)-3=-3(-2u+7)-7u equation:


Simplifying
5(u + -4) + -3 = -3(-2u + 7) + -7u

Reorder the terms:
5(-4 + u) + -3 = -3(-2u + 7) + -7u
(-4 * 5 + u * 5) + -3 = -3(-2u + 7) + -7u
(-20 + 5u) + -3 = -3(-2u + 7) + -7u

Reorder the terms:
-20 + -3 + 5u = -3(-2u + 7) + -7u

Combine like terms: -20 + -3 = -23
-23 + 5u = -3(-2u + 7) + -7u

Reorder the terms:
-23 + 5u = -3(7 + -2u) + -7u
-23 + 5u = (7 * -3 + -2u * -3) + -7u
-23 + 5u = (-21 + 6u) + -7u

Combine like terms: 6u + -7u = -1u
-23 + 5u = -21 + -1u

Solving
-23 + 5u = -21 + -1u

Solving for variable 'u'.

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

Add 'u' to each side of the equation.
-23 + 5u + u = -21 + -1u + u

Combine like terms: 5u + u = 6u
-23 + 6u = -21 + -1u + u

Combine like terms: -1u + u = 0
-23 + 6u = -21 + 0
-23 + 6u = -21

Add '23' to each side of the equation.
-23 + 23 + 6u = -21 + 23

Combine like terms: -23 + 23 = 0
0 + 6u = -21 + 23
6u = -21 + 23

Combine like terms: -21 + 23 = 2
6u = 2

Divide each side by '6'.
u = 0.3333333333

Simplifying
u = 0.3333333333

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