18x-2(3x+1)=5x-16

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Solution for 18x-2(3x+1)=5x-16 equation:


Simplifying
18x + -2(3x + 1) = 5x + -16

Reorder the terms:
18x + -2(1 + 3x) = 5x + -16
18x + (1 * -2 + 3x * -2) = 5x + -16
18x + (-2 + -6x) = 5x + -16

Reorder the terms:
-2 + 18x + -6x = 5x + -16

Combine like terms: 18x + -6x = 12x
-2 + 12x = 5x + -16

Reorder the terms:
-2 + 12x = -16 + 5x

Solving
-2 + 12x = -16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 12x + -5x = -16 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-2 + 7x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 7x = -16 + 0
-2 + 7x = -16

Add '2' to each side of the equation.
-2 + 2 + 7x = -16 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = -16 + 2
7x = -16 + 2

Combine like terms: -16 + 2 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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