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

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


Simplifying
8(2 + x) = (x + 4) * 7
(2 * 8 + x * 8) = (x + 4) * 7
(16 + 8x) = (x + 4) * 7

Reorder the terms:
16 + 8x = (4 + x) * 7

Reorder the terms for easier multiplication:
16 + 8x = 7(4 + x)
16 + 8x = (4 * 7 + x * 7)
16 + 8x = (28 + 7x)

Solving
16 + 8x = 28 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
16 + 8x + -7x = 28 + 7x + -7x

Combine like terms: 8x + -7x = 1x
16 + 1x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + 1x = 28 + 0
16 + 1x = 28

Add '-16' to each side of the equation.
16 + -16 + 1x = 28 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 28 + -16
1x = 28 + -16

Combine like terms: 28 + -16 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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