-4(2u-5)+6u=6(u+1)

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Solution for -4(2u-5)+6u=6(u+1) equation:


Simplifying
-4(2u + -5) + 6u = 6(u + 1)

Reorder the terms:
-4(-5 + 2u) + 6u = 6(u + 1)
(-5 * -4 + 2u * -4) + 6u = 6(u + 1)
(20 + -8u) + 6u = 6(u + 1)

Combine like terms: -8u + 6u = -2u
20 + -2u = 6(u + 1)

Reorder the terms:
20 + -2u = 6(1 + u)
20 + -2u = (1 * 6 + u * 6)
20 + -2u = (6 + 6u)

Solving
20 + -2u = 6 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
20 + -2u + -6u = 6 + 6u + -6u

Combine like terms: -2u + -6u = -8u
20 + -8u = 6 + 6u + -6u

Combine like terms: 6u + -6u = 0
20 + -8u = 6 + 0
20 + -8u = 6

Add '-20' to each side of the equation.
20 + -20 + -8u = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -8u = 6 + -20
-8u = 6 + -20

Combine like terms: 6 + -20 = -14
-8u = -14

Divide each side by '-8'.
u = 1.75

Simplifying
u = 1.75

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