(-6x-1)=4-2(x-3)

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Solution for (-6x-1)=4-2(x-3) equation:


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

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

Remove parenthesis around (-1 + -6x)
-1 + -6x = 4 + -2(x + -3)

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

Combine like terms: 4 + 6 = 10
-1 + -6x = 10 + -2x

Solving
-1 + -6x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-1 + -6x + 2x = 10 + -2x + 2x

Combine like terms: -6x + 2x = -4x
-1 + -4x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + -4x = 10 + 0
-1 + -4x = 10

Add '1' to each side of the equation.
-1 + 1 + -4x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 10 + 1
-4x = 10 + 1

Combine like terms: 10 + 1 = 11
-4x = 11

Divide each side by '-4'.
x = -2.75

Simplifying
x = -2.75

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