12-0.6(u-3)=0.8(u-3)

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Solution for 12-0.6(u-3)=0.8(u-3) equation:


Simplifying
12 + -0.6(u + -3) = 0.8(u + -3)

Reorder the terms:
12 + -0.6(-3 + u) = 0.8(u + -3)
12 + (-3 * -0.6 + u * -0.6) = 0.8(u + -3)
12 + (1.8 + -0.6u) = 0.8(u + -3)

Combine like terms: 12 + 1.8 = 13.8
13.8 + -0.6u = 0.8(u + -3)

Reorder the terms:
13.8 + -0.6u = 0.8(-3 + u)
13.8 + -0.6u = (-3 * 0.8 + u * 0.8)
13.8 + -0.6u = (-2.4 + 0.8u)

Solving
13.8 + -0.6u = -2.4 + 0.8u

Solving for variable 'u'.

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

Add '-0.8u' to each side of the equation.
13.8 + -0.6u + -0.8u = -2.4 + 0.8u + -0.8u

Combine like terms: -0.6u + -0.8u = -1.4u
13.8 + -1.4u = -2.4 + 0.8u + -0.8u

Combine like terms: 0.8u + -0.8u = 0.0
13.8 + -1.4u = -2.4 + 0.0
13.8 + -1.4u = -2.4

Add '-13.8' to each side of the equation.
13.8 + -13.8 + -1.4u = -2.4 + -13.8

Combine like terms: 13.8 + -13.8 = 0.0
0.0 + -1.4u = -2.4 + -13.8
-1.4u = -2.4 + -13.8

Combine like terms: -2.4 + -13.8 = -16.2
-1.4u = -16.2

Divide each side by '-1.4'.
u = 11.57142857

Simplifying
u = 11.57142857

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