7x-(2x-13)=53

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Solution for 7x-(2x-13)=53 equation:


Simplifying
7x + -1(2x + -13) = 53

Reorder the terms:
7x + -1(-13 + 2x) = 53
7x + (-13 * -1 + 2x * -1) = 53
7x + (13 + -2x) = 53

Reorder the terms:
13 + 7x + -2x = 53

Combine like terms: 7x + -2x = 5x
13 + 5x = 53

Solving
13 + 5x = 53

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 + 5x = 53 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 53 + -13
5x = 53 + -13

Combine like terms: 53 + -13 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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