3(x+4)=18x-84

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Solution for 3(x+4)=18x-84 equation:


Simplifying
3(x + 4) = 18x + -84

Reorder the terms:
3(4 + x) = 18x + -84
(4 * 3 + x * 3) = 18x + -84
(12 + 3x) = 18x + -84

Reorder the terms:
12 + 3x = -84 + 18x

Solving
12 + 3x = -84 + 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.
12 + 3x + -18x = -84 + 18x + -18x

Combine like terms: 3x + -18x = -15x
12 + -15x = -84 + 18x + -18x

Combine like terms: 18x + -18x = 0
12 + -15x = -84 + 0
12 + -15x = -84

Add '-12' to each side of the equation.
12 + -12 + -15x = -84 + -12

Combine like terms: 12 + -12 = 0
0 + -15x = -84 + -12
-15x = -84 + -12

Combine like terms: -84 + -12 = -96
-15x = -96

Divide each side by '-15'.
x = 6.4

Simplifying
x = 6.4

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