14(3x+6)=18(3x)

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Solution for 14(3x+6)=18(3x) equation:


Simplifying
14(3x + 6) = 18(3x)

Reorder the terms:
14(6 + 3x) = 18(3x)
(6 * 14 + 3x * 14) = 18(3x)
(84 + 42x) = 18(3x)

Remove parenthesis around (3x)
84 + 42x = 18 * 3x

Multiply 18 * 3
84 + 42x = 54x

Solving
84 + 42x = 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
84 + 42x + -54x = 54x + -54x

Combine like terms: 42x + -54x = -12x
84 + -12x = 54x + -54x

Combine like terms: 54x + -54x = 0
84 + -12x = 0

Add '-84' to each side of the equation.
84 + -84 + -12x = 0 + -84

Combine like terms: 84 + -84 = 0
0 + -12x = 0 + -84
-12x = 0 + -84

Combine like terms: 0 + -84 = -84
-12x = -84

Divide each side by '-12'.
x = 7

Simplifying
x = 7

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