19-(2x-7)2=-x

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Solution for 19-(2x-7)2=-x equation:


Simplifying
19 + -1(2x + -7) * 2 = -1x

Reorder the terms:
19 + -1(-7 + 2x) * 2 = -1x

Reorder the terms for easier multiplication:
19 + -1 * 2(-7 + 2x) = -1x

Multiply -1 * 2
19 + -2(-7 + 2x) = -1x
19 + (-7 * -2 + 2x * -2) = -1x
19 + (14 + -4x) = -1x

Combine like terms: 19 + 14 = 33
33 + -4x = -1x

Solving
33 + -4x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
33 + -4x + x = -1x + x

Combine like terms: -4x + x = -3x
33 + -3x = -1x + x

Combine like terms: -1x + x = 0
33 + -3x = 0

Add '-33' to each side of the equation.
33 + -33 + -3x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -3x = 0 + -33
-3x = 0 + -33

Combine like terms: 0 + -33 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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