6x+3(2-3x)=18

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Solution for 6x+3(2-3x)=18 equation:


Simplifying
6x + 3(2 + -3x) = 18
6x + (2 * 3 + -3x * 3) = 18
6x + (6 + -9x) = 18

Reorder the terms:
6 + 6x + -9x = 18

Combine like terms: 6x + -9x = -3x
6 + -3x = 18

Solving
6 + -3x = 18

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -3x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 18 + -6
-3x = 18 + -6

Combine like terms: 18 + -6 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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