2x-3=4(-x+4)-19

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Solution for 2x-3=4(-x+4)-19 equation:


Simplifying
2x + -3 = 4(-1x + 4) + -19

Reorder the terms:
-3 + 2x = 4(-1x + 4) + -19

Reorder the terms:
-3 + 2x = 4(4 + -1x) + -19
-3 + 2x = (4 * 4 + -1x * 4) + -19
-3 + 2x = (16 + -4x) + -19

Reorder the terms:
-3 + 2x = 16 + -19 + -4x

Combine like terms: 16 + -19 = -3
-3 + 2x = -3 + -4x

Add '3' to each side of the equation.
-3 + 3 + 2x = -3 + 3 + -4x

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

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

Solving
2x = -4x

Solving for variable 'x'.

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

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

Combine like terms: 2x + 4x = 6x
6x = -4x + 4x

Combine like terms: -4x + 4x = 0
6x = 0

Divide each side by '6'.
x = 0

Simplifying
x = 0

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