2x+5(x-13)=x-3

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Solution for 2x+5(x-13)=x-3 equation:


Simplifying
2x + 5(x + -13) = x + -3

Reorder the terms:
2x + 5(-13 + x) = x + -3
2x + (-13 * 5 + x * 5) = x + -3
2x + (-65 + 5x) = x + -3

Reorder the terms:
-65 + 2x + 5x = x + -3

Combine like terms: 2x + 5x = 7x
-65 + 7x = x + -3

Reorder the terms:
-65 + 7x = -3 + x

Solving
-65 + 7x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-65 + 7x + -1x = -3 + x + -1x

Combine like terms: 7x + -1x = 6x
-65 + 6x = -3 + x + -1x

Combine like terms: x + -1x = 0
-65 + 6x = -3 + 0
-65 + 6x = -3

Add '65' to each side of the equation.
-65 + 65 + 6x = -3 + 65

Combine like terms: -65 + 65 = 0
0 + 6x = -3 + 65
6x = -3 + 65

Combine like terms: -3 + 65 = 62
6x = 62

Divide each side by '6'.
x = 10.33333333

Simplifying
x = 10.33333333

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