10x+6(4-x)=2x-16

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Solution for 10x+6(4-x)=2x-16 equation:


Simplifying
10x + 6(4 + -1x) = 2x + -16
10x + (4 * 6 + -1x * 6) = 2x + -16
10x + (24 + -6x) = 2x + -16

Reorder the terms:
24 + 10x + -6x = 2x + -16

Combine like terms: 10x + -6x = 4x
24 + 4x = 2x + -16

Reorder the terms:
24 + 4x = -16 + 2x

Solving
24 + 4x = -16 + 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 + 4x + -2x = -16 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
24 + 2x = -16 + 0
24 + 2x = -16

Add '-24' to each side of the equation.
24 + -24 + 2x = -16 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = -16 + -24
2x = -16 + -24

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

Divide each side by '2'.
x = -20

Simplifying
x = -20

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