6x-19=3(3x-5)

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Solution for 6x-19=3(3x-5) equation:


Simplifying
6x + -19 = 3(3x + -5)

Reorder the terms:
-19 + 6x = 3(3x + -5)

Reorder the terms:
-19 + 6x = 3(-5 + 3x)
-19 + 6x = (-5 * 3 + 3x * 3)
-19 + 6x = (-15 + 9x)

Solving
-19 + 6x = -15 + 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.
-19 + 6x + -9x = -15 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-19 + -3x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
-19 + -3x = -15 + 0
-19 + -3x = -15

Add '19' to each side of the equation.
-19 + 19 + -3x = -15 + 19

Combine like terms: -19 + 19 = 0
0 + -3x = -15 + 19
-3x = -15 + 19

Combine like terms: -15 + 19 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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