54=2(3x-5)+2(3x)

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Solution for 54=2(3x-5)+2(3x) equation:


Simplifying
54 = 2(3x + -5) + 2(3x)

Reorder the terms:
54 = 2(-5 + 3x) + 2(3x)
54 = (-5 * 2 + 3x * 2) + 2(3x)
54 = (-10 + 6x) + 2(3x)

Remove parenthesis around (3x)
54 = -10 + 6x + 2 * 3x

Multiply 2 * 3
54 = -10 + 6x + 6x

Combine like terms: 6x + 6x = 12x
54 = -10 + 12x

Solving
54 = -10 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
54 + -12x = -10 + 12x + -12x

Combine like terms: 12x + -12x = 0
54 + -12x = -10 + 0
54 + -12x = -10

Add '-54' to each side of the equation.
54 + -54 + -12x = -10 + -54

Combine like terms: 54 + -54 = 0
0 + -12x = -10 + -54
-12x = -10 + -54

Combine like terms: -10 + -54 = -64
-12x = -64

Divide each side by '-12'.
x = 5.333333333

Simplifying
x = 5.333333333

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