3(5x-16)-9x=x-6

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Solution for 3(5x-16)-9x=x-6 equation:


Simplifying
3(5x + -16) + -9x = x + -6

Reorder the terms:
3(-16 + 5x) + -9x = x + -6
(-16 * 3 + 5x * 3) + -9x = x + -6
(-48 + 15x) + -9x = x + -6

Combine like terms: 15x + -9x = 6x
-48 + 6x = x + -6

Reorder the terms:
-48 + 6x = -6 + x

Solving
-48 + 6x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-48 + 6x + -1x = -6 + x + -1x

Combine like terms: 6x + -1x = 5x
-48 + 5x = -6 + x + -1x

Combine like terms: x + -1x = 0
-48 + 5x = -6 + 0
-48 + 5x = -6

Add '48' to each side of the equation.
-48 + 48 + 5x = -6 + 48

Combine like terms: -48 + 48 = 0
0 + 5x = -6 + 48
5x = -6 + 48

Combine like terms: -6 + 48 = 42
5x = 42

Divide each side by '5'.
x = 8.4

Simplifying
x = 8.4

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