2x+7=13x-5

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Solution for 2x+7=13x-5 equation:


Simplifying
2x + 7 = 13x + -5

Reorder the terms:
7 + 2x = 13x + -5

Reorder the terms:
7 + 2x = -5 + 13x

Solving
7 + 2x = -5 + 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.
7 + 2x + -13x = -5 + 13x + -13x

Combine like terms: 2x + -13x = -11x
7 + -11x = -5 + 13x + -13x

Combine like terms: 13x + -13x = 0
7 + -11x = -5 + 0
7 + -11x = -5

Add '-7' to each side of the equation.
7 + -7 + -11x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -11x = -5 + -7
-11x = -5 + -7

Combine like terms: -5 + -7 = -12
-11x = -12

Divide each side by '-11'.
x = 1.090909091

Simplifying
x = 1.090909091

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