56=2x+4(4x-13)

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Solution for 56=2x+4(4x-13) equation:


Simplifying
56 = 2x + 4(4x + -13)

Reorder the terms:
56 = 2x + 4(-13 + 4x)
56 = 2x + (-13 * 4 + 4x * 4)
56 = 2x + (-52 + 16x)

Reorder the terms:
56 = -52 + 2x + 16x

Combine like terms: 2x + 16x = 18x
56 = -52 + 18x

Solving
56 = -52 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
56 + -18x = -52 + 18x + -18x

Combine like terms: 18x + -18x = 0
56 + -18x = -52 + 0
56 + -18x = -52

Add '-56' to each side of the equation.
56 + -56 + -18x = -52 + -56

Combine like terms: 56 + -56 = 0
0 + -18x = -52 + -56
-18x = -52 + -56

Combine like terms: -52 + -56 = -108
-18x = -108

Divide each side by '-18'.
x = 6

Simplifying
x = 6

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