172=2x+4(6x+4)

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Solution for 172=2x+4(6x+4) equation:


Simplifying
172 = 2x + 4(6x + 4)

Reorder the terms:
172 = 2x + 4(4 + 6x)
172 = 2x + (4 * 4 + 6x * 4)
172 = 2x + (16 + 24x)

Reorder the terms:
172 = 16 + 2x + 24x

Combine like terms: 2x + 24x = 26x
172 = 16 + 26x

Solving
172 = 16 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
172 + -26x = 16 + 26x + -26x

Combine like terms: 26x + -26x = 0
172 + -26x = 16 + 0
172 + -26x = 16

Add '-172' to each side of the equation.
172 + -172 + -26x = 16 + -172

Combine like terms: 172 + -172 = 0
0 + -26x = 16 + -172
-26x = 16 + -172

Combine like terms: 16 + -172 = -156
-26x = -156

Divide each side by '-26'.
x = 6

Simplifying
x = 6

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