2(x+4)+8=4(x+7)

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Solution for 2(x+4)+8=4(x+7) equation: 


Simplifying
2(x + 4) + 8 = 4(x + 7)

Reorder the terms:
2(4 + x) + 8 = 4(x + 7)
(4 * 2 + x * 2) + 8 = 4(x + 7)
(8 + 2x) + 8 = 4(x + 7)

Reorder the terms:
8 + 8 + 2x = 4(x + 7)

Combine like terms: 8 + 8 = 16
16 + 2x = 4(x + 7)

Reorder the terms:
16 + 2x = 4(7 + x)
16 + 2x = (7 * 4 + x * 4)
16 + 2x = (28 + 4x)

Solving
16 + 2x = 28 + 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 = 28 + 4x + -4x

Combine like terms: 2x + -4x = -2x
16 + -2x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -2x = 28 + 0
16 + -2x = 28

Add '-16' to each side of the equation.
16 + -16 + -2x = 28 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 28 + -16
-2x = 28 + -16

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

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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