4(x+10)-2(x+8)=-6

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Solution for 4(x+10)-2(x+8)=-6 equation: 


Simplifying
4(x + 10) + -2(x + 8) = -6

Reorder the terms:
4(10 + x) + -2(x + 8) = -6
(10 * 4 + x * 4) + -2(x + 8) = -6
(40 + 4x) + -2(x + 8) = -6

Reorder the terms:
40 + 4x + -2(8 + x) = -6
40 + 4x + (8 * -2 + x * -2) = -6
40 + 4x + (-16 + -2x) = -6

Reorder the terms:
40 + -16 + 4x + -2x = -6

Combine like terms: 40 + -16 = 24
24 + 4x + -2x = -6

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

Solving
24 + 2x = -6

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 2x = -6 + -24

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

Combine like terms: -6 + -24 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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