7x-(x-5)=53

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Solution for 7x-(x-5)=53 equation:


Simplifying
7x + -1(x + -5) = 53

Reorder the terms:
7x + -1(-5 + x) = 53
7x + (-5 * -1 + x * -1) = 53
7x + (5 + -1x) = 53

Reorder the terms:
5 + 7x + -1x = 53

Combine like terms: 7x + -1x = 6x
5 + 6x = 53

Solving
5 + 6x = 53

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 6x = 53 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 53 + -5
6x = 53 + -5

Combine like terms: 53 + -5 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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