2(x+8)=4(x-3)

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Solution for 2(x+8)=4(x-3) equation: 


Simplifying
2(x + 8) = 4(x + -3)

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

Reorder the terms:
16 + 2x = 4(-3 + x)
16 + 2x = (-3 * 4 + x * 4)
16 + 2x = (-12 + 4x)

Solving
16 + 2x = -12 + 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 + 2x + -4x = -12 + 4x + -4x

Combine like terms: 2x + -4x = -2x
16 + -2x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -2x = -12 + 0
16 + -2x = -12

Add '-16' to each side of the equation.
16 + -16 + -2x = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -12 + -16
-2x = -12 + -16

Combine like terms: -12 + -16 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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