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

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


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

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

Reorder the terms:
-15 + -4 + 15x = 6x + -2

Combine like terms: -15 + -4 = -19
-19 + 15x = 6x + -2

Reorder the terms:
-19 + 15x = -2 + 6x

Solving
-19 + 15x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-19 + 15x + -6x = -2 + 6x + -6x

Combine like terms: 15x + -6x = 9x
-19 + 9x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-19 + 9x = -2 + 0
-19 + 9x = -2

Add '19' to each side of the equation.
-19 + 19 + 9x = -2 + 19

Combine like terms: -19 + 19 = 0
0 + 9x = -2 + 19
9x = -2 + 19

Combine like terms: -2 + 19 = 17
9x = 17

Divide each side by '9'.
x = 1.888888889

Simplifying
x = 1.888888889

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