6x-13=2-4(3x+6)

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Solution for 6x-13=2-4(3x+6) equation:


Simplifying
6x + -13 = 2 + -4(3x + 6)

Reorder the terms:
-13 + 6x = 2 + -4(3x + 6)

Reorder the terms:
-13 + 6x = 2 + -4(6 + 3x)
-13 + 6x = 2 + (6 * -4 + 3x * -4)
-13 + 6x = 2 + (-24 + -12x)

Combine like terms: 2 + -24 = -22
-13 + 6x = -22 + -12x

Solving
-13 + 6x = -22 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-13 + 6x + 12x = -22 + -12x + 12x

Combine like terms: 6x + 12x = 18x
-13 + 18x = -22 + -12x + 12x

Combine like terms: -12x + 12x = 0
-13 + 18x = -22 + 0
-13 + 18x = -22

Add '13' to each side of the equation.
-13 + 13 + 18x = -22 + 13

Combine like terms: -13 + 13 = 0
0 + 18x = -22 + 13
18x = -22 + 13

Combine like terms: -22 + 13 = -9
18x = -9

Divide each side by '18'.
x = -0.5

Simplifying
x = -0.5

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