6x+1=13x-2

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Solution for 6x+1=13x-2 equation:


Simplifying
6x + 1 = 13x + -2

Reorder the terms:
1 + 6x = 13x + -2

Reorder the terms:
1 + 6x = -2 + 13x

Solving
1 + 6x = -2 + 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.
1 + 6x + -13x = -2 + 13x + -13x

Combine like terms: 6x + -13x = -7x
1 + -7x = -2 + 13x + -13x

Combine like terms: 13x + -13x = 0
1 + -7x = -2 + 0
1 + -7x = -2

Add '-1' to each side of the equation.
1 + -1 + -7x = -2 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = -2 + -1
-7x = -2 + -1

Combine like terms: -2 + -1 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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