5-7(2+x)=x+15

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Solution for 5-7(2+x)=x+15 equation:


Simplifying
5 + -7(2 + x) = x + 15
5 + (2 * -7 + x * -7) = x + 15
5 + (-14 + -7x) = x + 15

Combine like terms: 5 + -14 = -9
-9 + -7x = x + 15

Reorder the terms:
-9 + -7x = 15 + x

Solving
-9 + -7x = 15 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + -7x + -1x = 15 + x + -1x

Combine like terms: -7x + -1x = -8x
-9 + -8x = 15 + x + -1x

Combine like terms: x + -1x = 0
-9 + -8x = 15 + 0
-9 + -8x = 15

Add '9' to each side of the equation.
-9 + 9 + -8x = 15 + 9

Combine like terms: -9 + 9 = 0
0 + -8x = 15 + 9
-8x = 15 + 9

Combine like terms: 15 + 9 = 24
-8x = 24

Divide each side by '-8'.
x = -3

Simplifying
x = -3

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