4-2(x-5)=x-19

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Solution for 4-2(x-5)=x-19 equation:


Simplifying
4 + -2(x + -5) = x + -19

Reorder the terms:
4 + -2(-5 + x) = x + -19
4 + (-5 * -2 + x * -2) = x + -19
4 + (10 + -2x) = x + -19

Combine like terms: 4 + 10 = 14
14 + -2x = x + -19

Reorder the terms:
14 + -2x = -19 + x

Solving
14 + -2x = -19 + 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.
14 + -2x + -1x = -19 + x + -1x

Combine like terms: -2x + -1x = -3x
14 + -3x = -19 + x + -1x

Combine like terms: x + -1x = 0
14 + -3x = -19 + 0
14 + -3x = -19

Add '-14' to each side of the equation.
14 + -14 + -3x = -19 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = -19 + -14
-3x = -19 + -14

Combine like terms: -19 + -14 = -33
-3x = -33

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

Simplifying
x = 11

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