(x-4)+x+4(x-4)=62

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Solution for (x-4)+x+4(x-4)=62 equation:


Simplifying
(x + -4) + x + 4(x + -4) = 62

Reorder the terms:
(-4 + x) + x + 4(x + -4) = 62

Remove parenthesis around (-4 + x)
-4 + x + x + 4(x + -4) = 62

Reorder the terms:
-4 + x + x + 4(-4 + x) = 62
-4 + x + x + (-4 * 4 + x * 4) = 62
-4 + x + x + (-16 + 4x) = 62

Reorder the terms:
-4 + -16 + x + x + 4x = 62

Combine like terms: -4 + -16 = -20
-20 + x + x + 4x = 62

Combine like terms: x + x = 2x
-20 + 2x + 4x = 62

Combine like terms: 2x + 4x = 6x
-20 + 6x = 62

Solving
-20 + 6x = 62

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 6x = 62 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = 62 + 20
6x = 62 + 20

Combine like terms: 62 + 20 = 82
6x = 82

Divide each side by '6'.
x = 13.66666667

Simplifying
x = 13.66666667

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