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

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


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

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

Reorder the terms:
-10 + -8 + 2u = -5(-3u + 2) + -3u

Combine like terms: -10 + -8 = -18
-18 + 2u = -5(-3u + 2) + -3u

Reorder the terms:
-18 + 2u = -5(2 + -3u) + -3u
-18 + 2u = (2 * -5 + -3u * -5) + -3u
-18 + 2u = (-10 + 15u) + -3u

Combine like terms: 15u + -3u = 12u
-18 + 2u = -10 + 12u

Solving
-18 + 2u = -10 + 12u

Solving for variable 'u'.

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

Add '-12u' to each side of the equation.
-18 + 2u + -12u = -10 + 12u + -12u

Combine like terms: 2u + -12u = -10u
-18 + -10u = -10 + 12u + -12u

Combine like terms: 12u + -12u = 0
-18 + -10u = -10 + 0
-18 + -10u = -10

Add '18' to each side of the equation.
-18 + 18 + -10u = -10 + 18

Combine like terms: -18 + 18 = 0
0 + -10u = -10 + 18
-10u = -10 + 18

Combine like terms: -10 + 18 = 8
-10u = 8

Divide each side by '-10'.
u = -0.8

Simplifying
u = -0.8

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