6(3x-4)+54=3(x+11)

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Solution for 6(3x-4)+54=3(x+11) equation:


Simplifying
6(3x + -4) + 54 = 3(x + 11)

Reorder the terms:
6(-4 + 3x) + 54 = 3(x + 11)
(-4 * 6 + 3x * 6) + 54 = 3(x + 11)
(-24 + 18x) + 54 = 3(x + 11)

Reorder the terms:
-24 + 54 + 18x = 3(x + 11)

Combine like terms: -24 + 54 = 30
30 + 18x = 3(x + 11)

Reorder the terms:
30 + 18x = 3(11 + x)
30 + 18x = (11 * 3 + x * 3)
30 + 18x = (33 + 3x)

Solving
30 + 18x = 33 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + 18x + -3x = 33 + 3x + -3x

Combine like terms: 18x + -3x = 15x
30 + 15x = 33 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 15x = 33 + 0
30 + 15x = 33

Add '-30' to each side of the equation.
30 + -30 + 15x = 33 + -30

Combine like terms: 30 + -30 = 0
0 + 15x = 33 + -30
15x = 33 + -30

Combine like terms: 33 + -30 = 3
15x = 3

Divide each side by '15'.
x = 0.2

Simplifying
x = 0.2

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