3(X-3)+7x=6-2(-5-3x)

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Solution for 3(X-3)+7x=6-2(-5-3x) equation: 


Simplifying
3(X + -3) + 7x = 6 + -2(-5 + -3x)

Reorder the terms:
3(-3 + X) + 7x = 6 + -2(-5 + -3x)
(-3 * 3 + X * 3) + 7x = 6 + -2(-5 + -3x)
(-9 + 3X) + 7x = 6 + -2(-5 + -3x)
-9 + 3X + 7x = 6 + (-5 * -2 + -3x * -2)
-9 + 3X + 7x = 6 + (10 + 6x)

Combine like terms: 6 + 10 = 16
-9 + 3X + 7x = 16 + 6x

Solving
-9 + 3X + 7x = 16 + 6x

Solving for variable 'X'.

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

Add '9' to each side of the equation.
-9 + 3X + 9 + 7x = 16 + 9 + 6x

Reorder the terms:
-9 + 9 + 3X + 7x = 16 + 9 + 6x

Combine like terms: -9 + 9 = 0
0 + 3X + 7x = 16 + 9 + 6x
3X + 7x = 16 + 9 + 6x

Combine like terms: 16 + 9 = 25
3X + 7x = 25 + 6x

Add '-7x' to each side of the equation.
3X + 7x + -7x = 25 + 6x + -7x

Combine like terms: 7x + -7x = 0
3X + 0 = 25 + 6x + -7x
3X = 25 + 6x + -7x

Combine like terms: 6x + -7x = -1x
3X = 25 + -1x

Divide each side by '3'.
X = 8.333333333 + -0.3333333333x

Simplifying
X = 8.333333333 + -0.3333333333x

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