(x-5)=(4x-38)

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Solution for (x-5)=(4x-38) equation:


Simplifying
(x + -5) = (4x + -38)

Reorder the terms:
(-5 + x) = (4x + -38)

Remove parenthesis around (-5 + x)
-5 + x = (4x + -38)

Reorder the terms:
-5 + x = (-38 + 4x)

Remove parenthesis around (-38 + 4x)
-5 + x = -38 + 4x

Solving
-5 + x = -38 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + x + -4x = -38 + 4x + -4x

Combine like terms: x + -4x = -3x
-5 + -3x = -38 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -3x = -38 + 0
-5 + -3x = -38

Add '5' to each side of the equation.
-5 + 5 + -3x = -38 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -38 + 5
-3x = -38 + 5

Combine like terms: -38 + 5 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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