-5(-4u+2)-8u=3(u-5)-7

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Solution for -5(-4u+2)-8u=3(u-5)-7 equation:


Simplifying
-5(-4u + 2) + -8u = 3(u + -5) + -7

Reorder the terms:
-5(2 + -4u) + -8u = 3(u + -5) + -7
(2 * -5 + -4u * -5) + -8u = 3(u + -5) + -7
(-10 + 20u) + -8u = 3(u + -5) + -7

Combine like terms: 20u + -8u = 12u
-10 + 12u = 3(u + -5) + -7

Reorder the terms:
-10 + 12u = 3(-5 + u) + -7
-10 + 12u = (-5 * 3 + u * 3) + -7
-10 + 12u = (-15 + 3u) + -7

Reorder the terms:
-10 + 12u = -15 + -7 + 3u

Combine like terms: -15 + -7 = -22
-10 + 12u = -22 + 3u

Solving
-10 + 12u = -22 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
-10 + 12u + -3u = -22 + 3u + -3u

Combine like terms: 12u + -3u = 9u
-10 + 9u = -22 + 3u + -3u

Combine like terms: 3u + -3u = 0
-10 + 9u = -22 + 0
-10 + 9u = -22

Add '10' to each side of the equation.
-10 + 10 + 9u = -22 + 10

Combine like terms: -10 + 10 = 0
0 + 9u = -22 + 10
9u = -22 + 10

Combine like terms: -22 + 10 = -12
9u = -12

Divide each side by '9'.
u = -1.333333333

Simplifying
u = -1.333333333

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