4x-2=13x-74

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Solution for 4x-2=13x-74 equation:


Simplifying
4x + -2 = 13x + -74

Reorder the terms:
-2 + 4x = 13x + -74

Reorder the terms:
-2 + 4x = -74 + 13x

Solving
-2 + 4x = -74 + 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.
-2 + 4x + -13x = -74 + 13x + -13x

Combine like terms: 4x + -13x = -9x
-2 + -9x = -74 + 13x + -13x

Combine like terms: 13x + -13x = 0
-2 + -9x = -74 + 0
-2 + -9x = -74

Add '2' to each side of the equation.
-2 + 2 + -9x = -74 + 2

Combine like terms: -2 + 2 = 0
0 + -9x = -74 + 2
-9x = -74 + 2

Combine like terms: -74 + 2 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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