3(X-3)=5x-4+3(7-X)

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Solution for 3(X-3)=5x-4+3(7-X) equation: 


Simplifying
3(X + -3) = 5x + -4 + 3(7 + -1X)

Reorder the terms:
3(-3 + X) = 5x + -4 + 3(7 + -1X)
(-3 * 3 + X * 3) = 5x + -4 + 3(7 + -1X)
(-9 + 3X) = 5x + -4 + 3(7 + -1X)
-9 + 3X = 5x + -4 + (7 * 3 + -1X * 3)
-9 + 3X = 5x + -4 + (21 + -3X)

Reorder the terms:
-9 + 3X = -4 + 21 + -3X + 5x

Combine like terms: -4 + 21 = 17
-9 + 3X = 17 + -3X + 5x

Solving
-9 + 3X = 17 + -3X + 5x

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.
-9 + 3X + 3X = 17 + -3X + 3X + 5x

Combine like terms: 3X + 3X = 6X
-9 + 6X = 17 + -3X + 3X + 5x

Combine like terms: -3X + 3X = 0
-9 + 6X = 17 + 0 + 5x
-9 + 6X = 17 + 5x

Add '9' to each side of the equation.
-9 + 9 + 6X = 17 + 9 + 5x

Combine like terms: -9 + 9 = 0
0 + 6X = 17 + 9 + 5x
6X = 17 + 9 + 5x

Combine like terms: 17 + 9 = 26
6X = 26 + 5x

Divide each side by '6'.
X = 4.333333333 + 0.8333333333x

Simplifying
X = 4.333333333 + 0.8333333333x

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