7(2x+8)=2(8x+16)

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Solution for 7(2x+8)=2(8x+16) equation:


Simplifying
7(2x + 8) = 2(8x + 16)

Reorder the terms:
7(8 + 2x) = 2(8x + 16)
(8 * 7 + 2x * 7) = 2(8x + 16)
(56 + 14x) = 2(8x + 16)

Reorder the terms:
56 + 14x = 2(16 + 8x)
56 + 14x = (16 * 2 + 8x * 2)
56 + 14x = (32 + 16x)

Solving
56 + 14x = 32 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
56 + 14x + -16x = 32 + 16x + -16x

Combine like terms: 14x + -16x = -2x
56 + -2x = 32 + 16x + -16x

Combine like terms: 16x + -16x = 0
56 + -2x = 32 + 0
56 + -2x = 32

Add '-56' to each side of the equation.
56 + -56 + -2x = 32 + -56

Combine like terms: 56 + -56 = 0
0 + -2x = 32 + -56
-2x = 32 + -56

Combine like terms: 32 + -56 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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