3x-5=13x-75

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Solution for 3x-5=13x-75 equation:


Simplifying
3x + -5 = 13x + -75

Reorder the terms:
-5 + 3x = 13x + -75

Reorder the terms:
-5 + 3x = -75 + 13x

Solving
-5 + 3x = -75 + 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 + 3x + -13x = -75 + 13x + -13x

Combine like terms: 3x + -13x = -10x
-5 + -10x = -75 + 13x + -13x

Combine like terms: 13x + -13x = 0
-5 + -10x = -75 + 0
-5 + -10x = -75

Add '5' to each side of the equation.
-5 + 5 + -10x = -75 + 5

Combine like terms: -5 + 5 = 0
0 + -10x = -75 + 5
-10x = -75 + 5

Combine like terms: -75 + 5 = -70
-10x = -70

Divide each side by '-10'.
x = 7

Simplifying
x = 7

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