8(1+2x)=2(7x+2)

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Solution for 8(1+2x)=2(7x+2) equation:


Simplifying
8(1 + 2x) = 2(7x + 2)
(1 * 8 + 2x * 8) = 2(7x + 2)
(8 + 16x) = 2(7x + 2)

Reorder the terms:
8 + 16x = 2(2 + 7x)
8 + 16x = (2 * 2 + 7x * 2)
8 + 16x = (4 + 14x)

Solving
8 + 16x = 4 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
8 + 16x + -14x = 4 + 14x + -14x

Combine like terms: 16x + -14x = 2x
8 + 2x = 4 + 14x + -14x

Combine like terms: 14x + -14x = 0
8 + 2x = 4 + 0
8 + 2x = 4

Add '-8' to each side of the equation.
8 + -8 + 2x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 4 + -8
2x = 4 + -8

Combine like terms: 4 + -8 = -4
2x = -4

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

Simplifying
x = -2

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