2x-5-(x-3)=7

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Solution for 2x-5-(x-3)=7 equation:


Simplifying
2x + -5 + -1(x + -3) = 7

Reorder the terms:
2x + -5 + -1(-3 + x) = 7
2x + -5 + (-3 * -1 + x * -1) = 7
2x + -5 + (3 + -1x) = 7

Reorder the terms:
-5 + 3 + 2x + -1x = 7

Combine like terms: -5 + 3 = -2
-2 + 2x + -1x = 7

Combine like terms: 2x + -1x = 1x
-2 + 1x = 7

Solving
-2 + 1x = 7

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 1x = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 7 + 2
1x = 7 + 2

Combine like terms: 7 + 2 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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