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

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


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

Reorder the terms:
4(-4 + x) = -6(x + 2) + 24
(-4 * 4 + x * 4) = -6(x + 2) + 24
(-16 + 4x) = -6(x + 2) + 24

Reorder the terms:
-16 + 4x = -6(2 + x) + 24
-16 + 4x = (2 * -6 + x * -6) + 24
-16 + 4x = (-12 + -6x) + 24

Reorder the terms:
-16 + 4x = -12 + 24 + -6x

Combine like terms: -12 + 24 = 12
-16 + 4x = 12 + -6x

Solving
-16 + 4x = 12 + -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.
-16 + 4x + 6x = 12 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-16 + 10x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-16 + 10x = 12 + 0
-16 + 10x = 12

Add '16' to each side of the equation.
-16 + 16 + 10x = 12 + 16

Combine like terms: -16 + 16 = 0
0 + 10x = 12 + 16
10x = 12 + 16

Combine like terms: 12 + 16 = 28
10x = 28

Divide each side by '10'.
x = 2.8

Simplifying
x = 2.8

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