6x-5=13x-33

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Solution for 6x-5=13x-33 equation:


Simplifying
6x + -5 = 13x + -33

Reorder the terms:
-5 + 6x = 13x + -33

Reorder the terms:
-5 + 6x = -33 + 13x

Solving
-5 + 6x = -33 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-5 + 6x + -13x = -33 + 13x + -13x

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

Combine like terms: 13x + -13x = 0
-5 + -7x = -33 + 0
-5 + -7x = -33

Add '5' to each side of the equation.
-5 + 5 + -7x = -33 + 5

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

Combine like terms: -33 + 5 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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