(18-3x)-(4+2x)=-6

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Solution for (18-3x)-(4+2x)=-6 equation:


Simplifying
(18 + -3x) + -1(4 + 2x) = -6

Remove parenthesis around (18 + -3x)
18 + -3x + -1(4 + 2x) = -6
18 + -3x + (4 * -1 + 2x * -1) = -6
18 + -3x + (-4 + -2x) = -6

Reorder the terms:
18 + -4 + -3x + -2x = -6

Combine like terms: 18 + -4 = 14
14 + -3x + -2x = -6

Combine like terms: -3x + -2x = -5x
14 + -5x = -6

Solving
14 + -5x = -6

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -5x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = -6 + -14
-5x = -6 + -14

Combine like terms: -6 + -14 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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