2(x+8)=10x+4(x-5)

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Solution for 2(x+8)=10x+4(x-5) equation: 


Simplifying
2(x + 8) = 10x + 4(x + -5)

Reorder the terms:
2(8 + x) = 10x + 4(x + -5)
(8 * 2 + x * 2) = 10x + 4(x + -5)
(16 + 2x) = 10x + 4(x + -5)

Reorder the terms:
16 + 2x = 10x + 4(-5 + x)
16 + 2x = 10x + (-5 * 4 + x * 4)
16 + 2x = 10x + (-20 + 4x)

Reorder the terms:
16 + 2x = -20 + 10x + 4x

Combine like terms: 10x + 4x = 14x
16 + 2x = -20 + 14x

Solving
16 + 2x = -20 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
16 + 2x + -14x = -20 + 14x + -14x

Combine like terms: 2x + -14x = -12x
16 + -12x = -20 + 14x + -14x

Combine like terms: 14x + -14x = 0
16 + -12x = -20 + 0
16 + -12x = -20

Add '-16' to each side of the equation.
16 + -16 + -12x = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -12x = -20 + -16
-12x = -20 + -16

Combine like terms: -20 + -16 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3

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