17x-(3x+5)=3(3x-10)

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Solution for 17x-(3x+5)=3(3x-10) equation:


Simplifying
17x + -1(3x + 5) = 3(3x + -10)

Reorder the terms:
17x + -1(5 + 3x) = 3(3x + -10)
17x + (5 * -1 + 3x * -1) = 3(3x + -10)
17x + (-5 + -3x) = 3(3x + -10)

Reorder the terms:
-5 + 17x + -3x = 3(3x + -10)

Combine like terms: 17x + -3x = 14x
-5 + 14x = 3(3x + -10)

Reorder the terms:
-5 + 14x = 3(-10 + 3x)
-5 + 14x = (-10 * 3 + 3x * 3)
-5 + 14x = (-30 + 9x)

Solving
-5 + 14x = -30 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-5 + 14x + -9x = -30 + 9x + -9x

Combine like terms: 14x + -9x = 5x
-5 + 5x = -30 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + 5x = -30 + 0
-5 + 5x = -30

Add '5' to each side of the equation.
-5 + 5 + 5x = -30 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = -30 + 5
5x = -30 + 5

Combine like terms: -30 + 5 = -25
5x = -25

Divide each side by '5'.
x = -5

Simplifying
x = -5

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