3x-4=13x-74

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Solution for 3x-4=13x-74 equation:


Simplifying
3x + -4 = 13x + -74

Reorder the terms:
-4 + 3x = 13x + -74

Reorder the terms:
-4 + 3x = -74 + 13x

Solving
-4 + 3x = -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.
-4 + 3x + -13x = -74 + 13x + -13x

Combine like terms: 3x + -13x = -10x
-4 + -10x = -74 + 13x + -13x

Combine like terms: 13x + -13x = 0
-4 + -10x = -74 + 0
-4 + -10x = -74

Add '4' to each side of the equation.
-4 + 4 + -10x = -74 + 4

Combine like terms: -4 + 4 = 0
0 + -10x = -74 + 4
-10x = -74 + 4

Combine like terms: -74 + 4 = -70
-10x = -70

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

Simplifying
x = 7

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