-4(x-3)-6=-3x-13

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Solution for -4(x-3)-6=-3x-13 equation: 


Simplifying
-4(x + -3) + -6 = -3x + -13

Reorder the terms:
-4(-3 + x) + -6 = -3x + -13
(-3 * -4 + x * -4) + -6 = -3x + -13
(12 + -4x) + -6 = -3x + -13

Reorder the terms:
12 + -6 + -4x = -3x + -13

Combine like terms: 12 + -6 = 6
6 + -4x = -3x + -13

Reorder the terms:
6 + -4x = -13 + -3x

Solving
6 + -4x = -13 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + -4x + 3x = -13 + -3x + 3x

Combine like terms: -4x + 3x = -1x
6 + -1x = -13 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + -1x = -13 + 0
6 + -1x = -13

Add '-6' to each side of the equation.
6 + -6 + -1x = -13 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -13 + -6
-1x = -13 + -6

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

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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