5x-(2x-13)=40

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Solution for 5x-(2x-13)=40 equation:


Simplifying
5x + -1(2x + -13) = 40

Reorder the terms:
5x + -1(-13 + 2x) = 40
5x + (-13 * -1 + 2x * -1) = 40
5x + (13 + -2x) = 40

Reorder the terms:
13 + 5x + -2x = 40

Combine like terms: 5x + -2x = 3x
13 + 3x = 40

Solving
13 + 3x = 40

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 3x = 40 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 40 + -13
3x = 40 + -13

Combine like terms: 40 + -13 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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