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

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


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

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

Combine like terms: 19 + -6 = 13
13 + -1x = 4x + -2

Reorder the terms:
13 + -1x = -2 + 4x

Solving
13 + -1x = -2 + 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.
13 + -1x + -4x = -2 + 4x + -4x

Combine like terms: -1x + -4x = -5x
13 + -5x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -5x = -2 + 0
13 + -5x = -2

Add '-13' to each side of the equation.
13 + -13 + -5x = -2 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = -2 + -13
-5x = -2 + -13

Combine like terms: -2 + -13 = -15
-5x = -15

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

Simplifying
x = 3

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