6(1-2x)+2(x+5)=-24

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Solution for 6(1-2x)+2(x+5)=-24 equation:


Simplifying
6(1 + -2x) + 2(x + 5) = -24
(1 * 6 + -2x * 6) + 2(x + 5) = -24
(6 + -12x) + 2(x + 5) = -24

Reorder the terms:
6 + -12x + 2(5 + x) = -24
6 + -12x + (5 * 2 + x * 2) = -24
6 + -12x + (10 + 2x) = -24

Reorder the terms:
6 + 10 + -12x + 2x = -24

Combine like terms: 6 + 10 = 16
16 + -12x + 2x = -24

Combine like terms: -12x + 2x = -10x
16 + -10x = -24

Solving
16 + -10x = -24

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -10x = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -10x = -24 + -16
-10x = -24 + -16

Combine like terms: -24 + -16 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

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