x+52=4x-47

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Solution for x+52=4x-47 equation:


Simplifying
x + 52 = 4x + -47

Reorder the terms:
52 + x = 4x + -47

Reorder the terms:
52 + x = -47 + 4x

Solving
52 + x = -47 + 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.
52 + x + -4x = -47 + 4x + -4x

Combine like terms: x + -4x = -3x
52 + -3x = -47 + 4x + -4x

Combine like terms: 4x + -4x = 0
52 + -3x = -47 + 0
52 + -3x = -47

Add '-52' to each side of the equation.
52 + -52 + -3x = -47 + -52

Combine like terms: 52 + -52 = 0
0 + -3x = -47 + -52
-3x = -47 + -52

Combine like terms: -47 + -52 = -99
-3x = -99

Divide each side by '-3'.
x = 33

Simplifying
x = 33

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