5(u-4)-3=-3(-8u+7)-3u

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Solution for 5(u-4)-3=-3(-8u+7)-3u equation:


Simplifying
5(u + -4) + -3 = -3(-8u + 7) + -3u

Reorder the terms:
5(-4 + u) + -3 = -3(-8u + 7) + -3u
(-4 * 5 + u * 5) + -3 = -3(-8u + 7) + -3u
(-20 + 5u) + -3 = -3(-8u + 7) + -3u

Reorder the terms:
-20 + -3 + 5u = -3(-8u + 7) + -3u

Combine like terms: -20 + -3 = -23
-23 + 5u = -3(-8u + 7) + -3u

Reorder the terms:
-23 + 5u = -3(7 + -8u) + -3u
-23 + 5u = (7 * -3 + -8u * -3) + -3u
-23 + 5u = (-21 + 24u) + -3u

Combine like terms: 24u + -3u = 21u
-23 + 5u = -21 + 21u

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

Solving for variable 'u'.

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

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

Combine like terms: 5u + -21u = -16u
-23 + -16u = -21 + 21u + -21u

Combine like terms: 21u + -21u = 0
-23 + -16u = -21 + 0
-23 + -16u = -21

Add '23' to each side of the equation.
-23 + 23 + -16u = -21 + 23

Combine like terms: -23 + 23 = 0
0 + -16u = -21 + 23
-16u = -21 + 23

Combine like terms: -21 + 23 = 2
-16u = 2

Divide each side by '-16'.
u = -0.125

Simplifying
u = -0.125

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