5x-(7-x)=-49

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Solution for 5x-(7-x)=-49 equation:


Simplifying
5x + -1(7 + -1x) = -49
5x + (7 * -1 + -1x * -1) = -49
5x + (-7 + 1x) = -49

Reorder the terms:
-7 + 5x + 1x = -49

Combine like terms: 5x + 1x = 6x
-7 + 6x = -49

Solving
-7 + 6x = -49

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 + 6x = -49 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = -49 + 7
6x = -49 + 7

Combine like terms: -49 + 7 = -42
6x = -42

Divide each side by '6'.
x = -7

Simplifying
x = -7

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