x+4=x*7-13

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Solution for x+4=x*7-13 equation:


Simplifying
x + 4 = x * 7 + -13

Reorder the terms:
4 + x = x * 7 + -13

Reorder the terms for easier multiplication:
4 + x = 7x + -13

Reorder the terms:
4 + x = -13 + 7x

Solving
4 + x = -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.
4 + x + -7x = -13 + 7x + -7x

Combine like terms: x + -7x = -6x
4 + -6x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -6x = -13 + 0
4 + -6x = -13

Add '-4' to each side of the equation.
4 + -4 + -6x = -13 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = -13 + -4
-6x = -13 + -4

Combine like terms: -13 + -4 = -17
-6x = -17

Divide each side by '-6'.
x = 2.833333333

Simplifying
x = 2.833333333

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