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

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


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

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

Combine like terms: 5 + -18 = -13
-13 + 18x = 4 + -3(6x + -6)

Reorder the terms:
-13 + 18x = 4 + -3(-6 + 6x)
-13 + 18x = 4 + (-6 * -3 + 6x * -3)
-13 + 18x = 4 + (18 + -18x)

Combine like terms: 4 + 18 = 22
-13 + 18x = 22 + -18x

Solving
-13 + 18x = 22 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-13 + 18x + 18x = 22 + -18x + 18x

Combine like terms: 18x + 18x = 36x
-13 + 36x = 22 + -18x + 18x

Combine like terms: -18x + 18x = 0
-13 + 36x = 22 + 0
-13 + 36x = 22

Add '13' to each side of the equation.
-13 + 13 + 36x = 22 + 13

Combine like terms: -13 + 13 = 0
0 + 36x = 22 + 13
36x = 22 + 13

Combine like terms: 22 + 13 = 35
36x = 35

Divide each side by '36'.
x = 0.9722222222

Simplifying
x = 0.9722222222

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