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

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


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

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

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

Combine like terms: x + 2x = 3x
-16 + 3x = 2 + 4(x + -8)

Reorder the terms:
-16 + 3x = 2 + 4(-8 + x)
-16 + 3x = 2 + (-8 * 4 + x * 4)
-16 + 3x = 2 + (-32 + 4x)

Combine like terms: 2 + -32 = -30
-16 + 3x = -30 + 4x

Solving
-16 + 3x = -30 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-16 + 3x + -4x = -30 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-16 + -1x = -30 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + -1x = -30 + 0
-16 + -1x = -30

Add '16' to each side of the equation.
-16 + 16 + -1x = -30 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -30 + 16
-1x = -30 + 16

Combine like terms: -30 + 16 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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