4x+1=13x-13

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Solution for 4x+1=13x-13 equation:


Simplifying
4x + 1 = 13x + -13

Reorder the terms:
1 + 4x = 13x + -13

Reorder the terms:
1 + 4x = -13 + 13x

Solving
1 + 4x = -13 + 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 + 4x + -13x = -13 + 13x + -13x

Combine like terms: 4x + -13x = -9x
1 + -9x = -13 + 13x + -13x

Combine like terms: 13x + -13x = 0
1 + -9x = -13 + 0
1 + -9x = -13

Add '-1' to each side of the equation.
1 + -1 + -9x = -13 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = -13 + -1
-9x = -13 + -1

Combine like terms: -13 + -1 = -14
-9x = -14

Divide each side by '-9'.
x = 1.555555556

Simplifying
x = 1.555555556

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