71-7x=47-3x+4

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Solution for 71-7x=47-3x+4 equation:


Simplifying
71 + -7x = 47 + -3x + 4

Reorder the terms:
71 + -7x = 47 + 4 + -3x

Combine like terms: 47 + 4 = 51
71 + -7x = 51 + -3x

Solving
71 + -7x = 51 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
71 + -7x + 3x = 51 + -3x + 3x

Combine like terms: -7x + 3x = -4x
71 + -4x = 51 + -3x + 3x

Combine like terms: -3x + 3x = 0
71 + -4x = 51 + 0
71 + -4x = 51

Add '-71' to each side of the equation.
71 + -71 + -4x = 51 + -71

Combine like terms: 71 + -71 = 0
0 + -4x = 51 + -71
-4x = 51 + -71

Combine like terms: 51 + -71 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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