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

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


Simplifying
4 + -1x = 2(x + -5) + -19

Reorder the terms:
4 + -1x = 2(-5 + x) + -19
4 + -1x = (-5 * 2 + x * 2) + -19
4 + -1x = (-10 + 2x) + -19

Reorder the terms:
4 + -1x = -10 + -19 + 2x

Combine like terms: -10 + -19 = -29
4 + -1x = -29 + 2x

Solving
4 + -1x = -29 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + -1x + -2x = -29 + 2x + -2x

Combine like terms: -1x + -2x = -3x
4 + -3x = -29 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -3x = -29 + 0
4 + -3x = -29

Add '-4' to each side of the equation.
4 + -4 + -3x = -29 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -29 + -4
-3x = -29 + -4

Combine like terms: -29 + -4 = -33
-3x = -33

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

Simplifying
x = 11

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