3(3x-6)-18=-3(5x+5)-4

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Solution for 3(3x-6)-18=-3(5x+5)-4 equation:


Simplifying
3(3x + -6) + -18 = -3(5x + 5) + -4

Reorder the terms:
3(-6 + 3x) + -18 = -3(5x + 5) + -4
(-6 * 3 + 3x * 3) + -18 = -3(5x + 5) + -4
(-18 + 9x) + -18 = -3(5x + 5) + -4

Reorder the terms:
-18 + -18 + 9x = -3(5x + 5) + -4

Combine like terms: -18 + -18 = -36
-36 + 9x = -3(5x + 5) + -4

Reorder the terms:
-36 + 9x = -3(5 + 5x) + -4
-36 + 9x = (5 * -3 + 5x * -3) + -4
-36 + 9x = (-15 + -15x) + -4

Reorder the terms:
-36 + 9x = -15 + -4 + -15x

Combine like terms: -15 + -4 = -19
-36 + 9x = -19 + -15x

Solving
-36 + 9x = -19 + -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.
-36 + 9x + 15x = -19 + -15x + 15x

Combine like terms: 9x + 15x = 24x
-36 + 24x = -19 + -15x + 15x

Combine like terms: -15x + 15x = 0
-36 + 24x = -19 + 0
-36 + 24x = -19

Add '36' to each side of the equation.
-36 + 36 + 24x = -19 + 36

Combine like terms: -36 + 36 = 0
0 + 24x = -19 + 36
24x = -19 + 36

Combine like terms: -19 + 36 = 17
24x = 17

Divide each side by '24'.
x = 0.7083333333

Simplifying
x = 0.7083333333

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