3x-(2x-4)=6x+19

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Solution for 3x-(2x-4)=6x+19 equation:


Simplifying
3x + -1(2x + -4) = 6x + 19

Reorder the terms:
3x + -1(-4 + 2x) = 6x + 19
3x + (-4 * -1 + 2x * -1) = 6x + 19
3x + (4 + -2x) = 6x + 19

Reorder the terms:
4 + 3x + -2x = 6x + 19

Combine like terms: 3x + -2x = 1x
4 + 1x = 6x + 19

Reorder the terms:
4 + 1x = 19 + 6x

Solving
4 + 1x = 19 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 1x + -6x = 19 + 6x + -6x

Combine like terms: 1x + -6x = -5x
4 + -5x = 19 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -5x = 19 + 0
4 + -5x = 19

Add '-4' to each side of the equation.
4 + -4 + -5x = 19 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 19 + -4
-5x = 19 + -4

Combine like terms: 19 + -4 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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