(2x-7)-(x-15)=14

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Solution for (2x-7)-(x-15)=14 equation:


Simplifying
(2x + -7) + -1(x + -15) = 14

Reorder the terms:
(-7 + 2x) + -1(x + -15) = 14

Remove parenthesis around (-7 + 2x)
-7 + 2x + -1(x + -15) = 14

Reorder the terms:
-7 + 2x + -1(-15 + x) = 14
-7 + 2x + (-15 * -1 + x * -1) = 14
-7 + 2x + (15 + -1x) = 14

Reorder the terms:
-7 + 15 + 2x + -1x = 14

Combine like terms: -7 + 15 = 8
8 + 2x + -1x = 14

Combine like terms: 2x + -1x = 1x
8 + 1x = 14

Solving
8 + 1x = 14

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 1x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 14 + -8
1x = 14 + -8

Combine like terms: 14 + -8 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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