3(x-5)=5x+13-7x-9x

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Solution for 3(x-5)=5x+13-7x-9x equation: 


Simplifying
3(x + -5) = 5x + 13 + -7x + -9x

Reorder the terms:
3(-5 + x) = 5x + 13 + -7x + -9x
(-5 * 3 + x * 3) = 5x + 13 + -7x + -9x
(-15 + 3x) = 5x + 13 + -7x + -9x

Reorder the terms:
-15 + 3x = 13 + 5x + -7x + -9x

Combine like terms: 5x + -7x = -2x
-15 + 3x = 13 + -2x + -9x

Combine like terms: -2x + -9x = -11x
-15 + 3x = 13 + -11x

Solving
-15 + 3x = 13 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
-15 + 3x + 11x = 13 + -11x + 11x

Combine like terms: 3x + 11x = 14x
-15 + 14x = 13 + -11x + 11x

Combine like terms: -11x + 11x = 0
-15 + 14x = 13 + 0
-15 + 14x = 13

Add '15' to each side of the equation.
-15 + 15 + 14x = 13 + 15

Combine like terms: -15 + 15 = 0
0 + 14x = 13 + 15
14x = 13 + 15

Combine like terms: 13 + 15 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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