7x-(2x-7)=52

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Solution for 7x-(2x-7)=52 equation:


Simplifying
7x + -1(2x + -7) = 52

Reorder the terms:
7x + -1(-7 + 2x) = 52
7x + (-7 * -1 + 2x * -1) = 52
7x + (7 + -2x) = 52

Reorder the terms:
7 + 7x + -2x = 52

Combine like terms: 7x + -2x = 5x
7 + 5x = 52

Solving
7 + 5x = 52

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 52 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 52 + -7
5x = 52 + -7

Combine like terms: 52 + -7 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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