13x-5=7x-33

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Solution for 13x-5=7x-33 equation:


Simplifying
13x + -5 = 7x + -33

Reorder the terms:
-5 + 13x = 7x + -33

Reorder the terms:
-5 + 13x = -33 + 7x

Solving
-5 + 13x = -33 + 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.
-5 + 13x + -7x = -33 + 7x + -7x

Combine like terms: 13x + -7x = 6x
-5 + 6x = -33 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + 6x = -33 + 0
-5 + 6x = -33

Add '5' to each side of the equation.
-5 + 5 + 6x = -33 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = -33 + 5
6x = -33 + 5

Combine like terms: -33 + 5 = -28
6x = -28

Divide each side by '6'.
x = -4.666666667

Simplifying
x = -4.666666667

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