3x+47=7x+13

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Solution for 3x+47=7x+13 equation: 


Simplifying
3x + 47 = 7x + 13

Reorder the terms:
47 + 3x = 7x + 13

Reorder the terms:
47 + 3x = 13 + 7x

Solving
47 + 3x = 13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
47 + 3x + -7x = 13 + 7x + -7x

Combine like terms: 3x + -7x = -4x
47 + -4x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
47 + -4x = 13 + 0
47 + -4x = 13

Add '-47' to each side of the equation.
47 + -47 + -4x = 13 + -47

Combine like terms: 47 + -47 = 0
0 + -4x = 13 + -47
-4x = 13 + -47

Combine like terms: 13 + -47 = -34
-4x = -34

Divide each side by '-4'.
x = 8.5

Simplifying
x = 8.5

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