6(x-4)=-2x+24

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Solution for 6(x-4)=-2x+24 equation:


Simplifying
6(x + -4) = -2x + 24

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

Reorder the terms:
-24 + 6x = 24 + -2x

Solving
-24 + 6x = 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 + 6x + 2x = 24 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-24 + 8x = 24 + 0
-24 + 8x = 24

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

Combine like terms: -24 + 24 = 0
0 + 8x = 24 + 24
8x = 24 + 24

Combine like terms: 24 + 24 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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