2(u-5)-1=-3(-6u+7)-8u

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Solution for 2(u-5)-1=-3(-6u+7)-8u equation:


Simplifying
2(u + -5) + -1 = -3(-6u + 7) + -8u

Reorder the terms:
2(-5 + u) + -1 = -3(-6u + 7) + -8u
(-5 * 2 + u * 2) + -1 = -3(-6u + 7) + -8u
(-10 + 2u) + -1 = -3(-6u + 7) + -8u

Reorder the terms:
-10 + -1 + 2u = -3(-6u + 7) + -8u

Combine like terms: -10 + -1 = -11
-11 + 2u = -3(-6u + 7) + -8u

Reorder the terms:
-11 + 2u = -3(7 + -6u) + -8u
-11 + 2u = (7 * -3 + -6u * -3) + -8u
-11 + 2u = (-21 + 18u) + -8u

Combine like terms: 18u + -8u = 10u
-11 + 2u = -21 + 10u

Solving
-11 + 2u = -21 + 10u

Solving for variable 'u'.

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

Add '-10u' to each side of the equation.
-11 + 2u + -10u = -21 + 10u + -10u

Combine like terms: 2u + -10u = -8u
-11 + -8u = -21 + 10u + -10u

Combine like terms: 10u + -10u = 0
-11 + -8u = -21 + 0
-11 + -8u = -21

Add '11' to each side of the equation.
-11 + 11 + -8u = -21 + 11

Combine like terms: -11 + 11 = 0
0 + -8u = -21 + 11
-8u = -21 + 11

Combine like terms: -21 + 11 = -10
-8u = -10

Divide each side by '-8'.
u = 1.25

Simplifying
u = 1.25

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