6x-3=30x+13

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Solution for 6x-3=30x+13 equation:


Simplifying
6x + -3 = 30x + 13

Reorder the terms:
-3 + 6x = 30x + 13

Reorder the terms:
-3 + 6x = 13 + 30x

Solving
-3 + 6x = 13 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-3 + 6x + -30x = 13 + 30x + -30x

Combine like terms: 6x + -30x = -24x
-3 + -24x = 13 + 30x + -30x

Combine like terms: 30x + -30x = 0
-3 + -24x = 13 + 0
-3 + -24x = 13

Add '3' to each side of the equation.
-3 + 3 + -24x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + -24x = 13 + 3
-24x = 13 + 3

Combine like terms: 13 + 3 = 16
-24x = 16

Divide each side by '-24'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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