-(x-27)+(x+6)=x-7

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Solution for -(x-27)+(x+6)=x-7 equation:


Simplifying
-1(x + -27) + (x + 6) = x + -7

Reorder the terms:
-1(-27 + x) + (x + 6) = x + -7
(-27 * -1 + x * -1) + (x + 6) = x + -7
(27 + -1x) + (x + 6) = x + -7

Reorder the terms:
27 + -1x + (6 + x) = x + -7

Remove parenthesis around (6 + x)
27 + -1x + 6 + x = x + -7

Reorder the terms:
27 + 6 + -1x + x = x + -7

Combine like terms: 27 + 6 = 33
33 + -1x + x = x + -7

Combine like terms: -1x + x = 0
33 + 0 = x + -7
33 = x + -7

Reorder the terms:
33 = -7 + x

Solving
33 = -7 + 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.
33 + -1x = -7 + x + -1x

Combine like terms: x + -1x = 0
33 + -1x = -7 + 0
33 + -1x = -7

Add '-33' to each side of the equation.
33 + -33 + -1x = -7 + -33

Combine like terms: 33 + -33 = 0
0 + -1x = -7 + -33
-1x = -7 + -33

Combine like terms: -7 + -33 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40

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