13(x-5)=2x+4

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Solution for 13(x-5)=2x+4 equation:


Simplifying
13(x + -5) = 2x + 4

Reorder the terms:
13(-5 + x) = 2x + 4
(-5 * 13 + x * 13) = 2x + 4
(-65 + 13x) = 2x + 4

Reorder the terms:
-65 + 13x = 4 + 2x

Solving
-65 + 13x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-65 + 13x + -2x = 4 + 2x + -2x

Combine like terms: 13x + -2x = 11x
-65 + 11x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-65 + 11x = 4 + 0
-65 + 11x = 4

Add '65' to each side of the equation.
-65 + 65 + 11x = 4 + 65

Combine like terms: -65 + 65 = 0
0 + 11x = 4 + 65
11x = 4 + 65

Combine like terms: 4 + 65 = 69
11x = 69

Divide each side by '11'.
x = 6.272727273

Simplifying
x = 6.272727273

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