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

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


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

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

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

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

Reorder the terms:
-2 + 6u = -3 + 7 + 3u

Combine like terms: -3 + 7 = 4
-2 + 6u = 4 + 3u

Solving
-2 + 6u = 4 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
-2 + 6u + -3u = 4 + 3u + -3u

Combine like terms: 6u + -3u = 3u
-2 + 3u = 4 + 3u + -3u

Combine like terms: 3u + -3u = 0
-2 + 3u = 4 + 0
-2 + 3u = 4

Add '2' to each side of the equation.
-2 + 2 + 3u = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 3u = 4 + 2
3u = 4 + 2

Combine like terms: 4 + 2 = 6
3u = 6

Divide each side by '3'.
u = 2

Simplifying
u = 2

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