-4(2x+6)=14-2(x-5)

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Solution for -4(2x+6)=14-2(x-5) equation:


Simplifying
-4(2x + 6) = 14 + -2(x + -5)

Reorder the terms:
-4(6 + 2x) = 14 + -2(x + -5)
(6 * -4 + 2x * -4) = 14 + -2(x + -5)
(-24 + -8x) = 14 + -2(x + -5)

Reorder the terms:
-24 + -8x = 14 + -2(-5 + x)
-24 + -8x = 14 + (-5 * -2 + x * -2)
-24 + -8x = 14 + (10 + -2x)

Combine like terms: 14 + 10 = 24
-24 + -8x = 24 + -2x

Solving
-24 + -8x = 24 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-24 + -8x + 2x = 24 + -2x + 2x

Combine like terms: -8x + 2x = -6x
-24 + -6x = 24 + -2x + 2x

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

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

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

Combine like terms: 24 + 24 = 48
-6x = 48

Divide each side by '-6'.
x = -8

Simplifying
x = -8

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