6(x-0.3)=-2(x+23)

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Solution for 6(x-0.3)=-2(x+23) equation: 


Simplifying
6(x + -0.3) = -2(x + 23)

Reorder the terms:
6(-0.3 + x) = -2(x + 23)
(-0.3 * 6 + x * 6) = -2(x + 23)
(-1.8 + 6x) = -2(x + 23)

Reorder the terms:
-1.8 + 6x = -2(23 + x)
-1.8 + 6x = (23 * -2 + x * -2)
-1.8 + 6x = (-46 + -2x)

Solving
-1.8 + 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.
-1.8 + 6x + 2x = -46 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-1.8 + 8x = -46 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1.8 + 8x = -46 + 0
-1.8 + 8x = -46

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 8x = -46 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 8x = -46 + 1.8
8x = -46 + 1.8

Combine like terms: -46 + 1.8 = -44.2
8x = -44.2

Divide each side by '8'.
x = -5.525

Simplifying
x = -5.525

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