5(4x-1)-9x=9x+3(2x+6)

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Solution for 5(4x-1)-9x=9x+3(2x+6) equation:


Simplifying
5(4x + -1) + -9x = 9x + 3(2x + 6)

Reorder the terms:
5(-1 + 4x) + -9x = 9x + 3(2x + 6)
(-1 * 5 + 4x * 5) + -9x = 9x + 3(2x + 6)
(-5 + 20x) + -9x = 9x + 3(2x + 6)

Combine like terms: 20x + -9x = 11x
-5 + 11x = 9x + 3(2x + 6)

Reorder the terms:
-5 + 11x = 9x + 3(6 + 2x)
-5 + 11x = 9x + (6 * 3 + 2x * 3)
-5 + 11x = 9x + (18 + 6x)

Reorder the terms:
-5 + 11x = 18 + 9x + 6x

Combine like terms: 9x + 6x = 15x
-5 + 11x = 18 + 15x

Solving
-5 + 11x = 18 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-5 + 11x + -15x = 18 + 15x + -15x

Combine like terms: 11x + -15x = -4x
-5 + -4x = 18 + 15x + -15x

Combine like terms: 15x + -15x = 0
-5 + -4x = 18 + 0
-5 + -4x = 18

Add '5' to each side of the equation.
-5 + 5 + -4x = 18 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 18 + 5
-4x = 18 + 5

Combine like terms: 18 + 5 = 23
-4x = 23

Divide each side by '-4'.
x = -5.75

Simplifying
x = -5.75

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