x+13=4x-38

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Solution for x+13=4x-38 equation:


Simplifying
x + 13 = 4x + -38

Reorder the terms:
13 + x = 4x + -38

Reorder the terms:
13 + x = -38 + 4x

Solving
13 + 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.
13 + x + -4x = -38 + 4x + -4x

Combine like terms: x + -4x = -3x
13 + -3x = -38 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -3x = -38 + 0
13 + -3x = -38

Add '-13' to each side of the equation.
13 + -13 + -3x = -38 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = -38 + -13
-3x = -38 + -13

Combine like terms: -38 + -13 = -51
-3x = -51

Divide each side by '-3'.
x = 17

Simplifying
x = 17

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