6-3(u+4)-u=7-5(u+2)-1

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Solution for 6-3(u+4)-u=7-5(u+2)-1 equation:


Simplifying
6 + -3(u + 4) + -1u = 7 + -5(u + 2) + -1

Reorder the terms:
6 + -3(4 + u) + -1u = 7 + -5(u + 2) + -1
6 + (4 * -3 + u * -3) + -1u = 7 + -5(u + 2) + -1
6 + (-12 + -3u) + -1u = 7 + -5(u + 2) + -1

Combine like terms: 6 + -12 = -6
-6 + -3u + -1u = 7 + -5(u + 2) + -1

Combine like terms: -3u + -1u = -4u
-6 + -4u = 7 + -5(u + 2) + -1

Reorder the terms:
-6 + -4u = 7 + -5(2 + u) + -1
-6 + -4u = 7 + (2 * -5 + u * -5) + -1
-6 + -4u = 7 + (-10 + -5u) + -1

Reorder the terms:
-6 + -4u = 7 + -10 + -1 + -5u

Combine like terms: 7 + -10 = -3
-6 + -4u = -3 + -1 + -5u

Combine like terms: -3 + -1 = -4
-6 + -4u = -4 + -5u

Solving
-6 + -4u = -4 + -5u

Solving for variable 'u'.

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

Add '5u' to each side of the equation.
-6 + -4u + 5u = -4 + -5u + 5u

Combine like terms: -4u + 5u = 1u
-6 + 1u = -4 + -5u + 5u

Combine like terms: -5u + 5u = 0
-6 + 1u = -4 + 0
-6 + 1u = -4

Add '6' to each side of the equation.
-6 + 6 + 1u = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 1u = -4 + 6
1u = -4 + 6

Combine like terms: -4 + 6 = 2
1u = 2

Divide each side by '1'.
u = 2

Simplifying
u = 2

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