4(x+6)=6x-16

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Solution for 4(x+6)=6x-16 equation:


Simplifying
4(x + 6) = 6x + -16

Reorder the terms:
4(6 + x) = 6x + -16
(6 * 4 + x * 4) = 6x + -16
(24 + 4x) = 6x + -16

Reorder the terms:
24 + 4x = -16 + 6x

Solving
24 + 4x = -16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
24 + 4x + -6x = -16 + 6x + -6x

Combine like terms: 4x + -6x = -2x
24 + -2x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -2x = -16 + 0
24 + -2x = -16

Add '-24' to each side of the equation.
24 + -24 + -2x = -16 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = -16 + -24
-2x = -16 + -24

Combine like terms: -16 + -24 = -40
-2x = -40

Divide each side by '-2'.
x = 20

Simplifying
x = 20

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