2(4x+7)=78

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Solution for 2(4x+7)=78 equation: 


Simplifying
2(4x + 7) = 78

Reorder the terms:
2(7 + 4x) = 78
(7 * 2 + 4x * 2) = 78
(14 + 8x) = 78

Solving
14 + 8x = 78

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 8x = 78 + -14

Combine like terms: 14 + -14 = 0
0 + 8x = 78 + -14
8x = 78 + -14

Combine like terms: 78 + -14 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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