6(x-1-3)=-2(x+23)

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Solution for 6(x-1-3)=-2(x+23) equation:


Simplifying
6(x + -1 + -3) = -2(x + 23)

Reorder the terms:
6(-1 + -3 + x) = -2(x + 23)

Combine like terms: -1 + -3 = -4
6(-4 + x) = -2(x + 23)
(-4 * 6 + x * 6) = -2(x + 23)
(-24 + 6x) = -2(x + 23)

Reorder the terms:
-24 + 6x = -2(23 + x)
-24 + 6x = (23 * -2 + x * -2)
-24 + 6x = (-46 + -2x)

Solving
-24 + 6x = -46 + -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.
-24 + 6x + 2x = -46 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-24 + 8x = -46 + -2x + 2x

Combine like terms: -2x + 2x = 0
-24 + 8x = -46 + 0
-24 + 8x = -46

Add '24' to each side of the equation.
-24 + 24 + 8x = -46 + 24

Combine like terms: -24 + 24 = 0
0 + 8x = -46 + 24
8x = -46 + 24

Combine like terms: -46 + 24 = -22
8x = -22

Divide each side by '8'.
x = -2.75

Simplifying
x = -2.75

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