5(3x-8)-4(2x-6)-9x=2

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Solution for 5(3x-8)-4(2x-6)-9x=2 equation:


Simplifying
5(3x + -8) + -4(2x + -6) + -9x = 2

Reorder the terms:
5(-8 + 3x) + -4(2x + -6) + -9x = 2
(-8 * 5 + 3x * 5) + -4(2x + -6) + -9x = 2
(-40 + 15x) + -4(2x + -6) + -9x = 2

Reorder the terms:
-40 + 15x + -4(-6 + 2x) + -9x = 2
-40 + 15x + (-6 * -4 + 2x * -4) + -9x = 2
-40 + 15x + (24 + -8x) + -9x = 2

Reorder the terms:
-40 + 24 + 15x + -8x + -9x = 2

Combine like terms: -40 + 24 = -16
-16 + 15x + -8x + -9x = 2

Combine like terms: 15x + -8x = 7x
-16 + 7x + -9x = 2

Combine like terms: 7x + -9x = -2x
-16 + -2x = 2

Solving
-16 + -2x = 2

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + -2x = 2 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = 2 + 16
-2x = 2 + 16

Combine like terms: 2 + 16 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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