6(x+8)-2(x+4)=24

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Solution for 6(x+8)-2(x+4)=24 equation: 


Simplifying
6(x + 8) + -2(x + 4) = 24

Reorder the terms:
6(8 + x) + -2(x + 4) = 24
(8 * 6 + x * 6) + -2(x + 4) = 24
(48 + 6x) + -2(x + 4) = 24

Reorder the terms:
48 + 6x + -2(4 + x) = 24
48 + 6x + (4 * -2 + x * -2) = 24
48 + 6x + (-8 + -2x) = 24

Reorder the terms:
48 + -8 + 6x + -2x = 24

Combine like terms: 48 + -8 = 40
40 + 6x + -2x = 24

Combine like terms: 6x + -2x = 4x
40 + 4x = 24

Solving
40 + 4x = 24

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 4x = 24 + -40

Combine like terms: 40 + -40 = 0
0 + 4x = 24 + -40
4x = 24 + -40

Combine like terms: 24 + -40 = -16
4x = -16

Divide each side by '4'.
x = -4

Simplifying
x = -4

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