6(3x-9)=6(-7x-4)

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Solution for 6(3x-9)=6(-7x-4) equation:


Simplifying
6(3x + -9) = 6(-7x + -4)

Reorder the terms:
6(-9 + 3x) = 6(-7x + -4)
(-9 * 6 + 3x * 6) = 6(-7x + -4)
(-54 + 18x) = 6(-7x + -4)

Reorder the terms:
-54 + 18x = 6(-4 + -7x)
-54 + 18x = (-4 * 6 + -7x * 6)
-54 + 18x = (-24 + -42x)

Solving
-54 + 18x = -24 + -42x

Solving for variable 'x'.

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

Add '42x' to each side of the equation.
-54 + 18x + 42x = -24 + -42x + 42x

Combine like terms: 18x + 42x = 60x
-54 + 60x = -24 + -42x + 42x

Combine like terms: -42x + 42x = 0
-54 + 60x = -24 + 0
-54 + 60x = -24

Add '54' to each side of the equation.
-54 + 54 + 60x = -24 + 54

Combine like terms: -54 + 54 = 0
0 + 60x = -24 + 54
60x = -24 + 54

Combine like terms: -24 + 54 = 30
60x = 30

Divide each side by '60'.
x = 0.5

Simplifying
x = 0.5

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