9x-(4x-6)=17+2(2x+8)

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Solution for 9x-(4x-6)=17+2(2x+8) equation:


Simplifying
9x + -1(4x + -6) = 17 + 2(2x + 8)

Reorder the terms:
9x + -1(-6 + 4x) = 17 + 2(2x + 8)
9x + (-6 * -1 + 4x * -1) = 17 + 2(2x + 8)
9x + (6 + -4x) = 17 + 2(2x + 8)

Reorder the terms:
6 + 9x + -4x = 17 + 2(2x + 8)

Combine like terms: 9x + -4x = 5x
6 + 5x = 17 + 2(2x + 8)

Reorder the terms:
6 + 5x = 17 + 2(8 + 2x)
6 + 5x = 17 + (8 * 2 + 2x * 2)
6 + 5x = 17 + (16 + 4x)

Combine like terms: 17 + 16 = 33
6 + 5x = 33 + 4x

Solving
6 + 5x = 33 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 5x + -4x = 33 + 4x + -4x

Combine like terms: 5x + -4x = 1x
6 + 1x = 33 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 1x = 33 + 0
6 + 1x = 33

Add '-6' to each side of the equation.
6 + -6 + 1x = 33 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 33 + -6
1x = 33 + -6

Combine like terms: 33 + -6 = 27
1x = 27

Divide each side by '1'.
x = 27

Simplifying
x = 27

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