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

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


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

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

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

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

Solving
16 + -6x = -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.
16 + -6x + -5x = -16 + 5x + -5x

Combine like terms: -6x + -5x = -11x
16 + -11x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -11x = -16 + 0
16 + -11x = -16

Add '-16' to each side of the equation.
16 + -16 + -11x = -16 + -16

Combine like terms: 16 + -16 = 0
0 + -11x = -16 + -16
-11x = -16 + -16

Combine like terms: -16 + -16 = -32
-11x = -32

Divide each side by '-11'.
x = 2.909090909

Simplifying
x = 2.909090909

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