5(7-X)-6=3(X)+5

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Solution for 5(7-X)-6=3(X)+5 equation:


Simplifying
5(7 + -1X) + -6 = 3(X) + 5
(7 * 5 + -1X * 5) + -6 = 3(X) + 5
(35 + -5X) + -6 = 3(X) + 5

Reorder the terms:
35 + -6 + -5X = 3(X) + 5

Combine like terms: 35 + -6 = 29
29 + -5X = 3(X) + 5

Reorder the terms:
29 + -5X = 5 + 3X

Solving
29 + -5X = 5 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
29 + -5X + -3X = 5 + 3X + -3X

Combine like terms: -5X + -3X = -8X
29 + -8X = 5 + 3X + -3X

Combine like terms: 3X + -3X = 0
29 + -8X = 5 + 0
29 + -8X = 5

Add '-29' to each side of the equation.
29 + -29 + -8X = 5 + -29

Combine like terms: 29 + -29 = 0
0 + -8X = 5 + -29
-8X = 5 + -29

Combine like terms: 5 + -29 = -24
-8X = -24

Divide each side by '-8'.
X = 3

Simplifying
X = 3

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