6(7x-9)=104+4(1-3x)

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Solution for 6(7x-9)=104+4(1-3x) equation: 


Simplifying
6(7x + -9) = 104 + 4(1 + -3x)

Reorder the terms:
6(-9 + 7x) = 104 + 4(1 + -3x)
(-9 * 6 + 7x * 6) = 104 + 4(1 + -3x)
(-54 + 42x) = 104 + 4(1 + -3x)
-54 + 42x = 104 + (1 * 4 + -3x * 4)
-54 + 42x = 104 + (4 + -12x)

Combine like terms: 104 + 4 = 108
-54 + 42x = 108 + -12x

Solving
-54 + 42x = 108 + -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.
-54 + 42x + 12x = 108 + -12x + 12x

Combine like terms: 42x + 12x = 54x
-54 + 54x = 108 + -12x + 12x

Combine like terms: -12x + 12x = 0
-54 + 54x = 108 + 0
-54 + 54x = 108

Add '54' to each side of the equation.
-54 + 54 + 54x = 108 + 54

Combine like terms: -54 + 54 = 0
0 + 54x = 108 + 54
54x = 108 + 54

Combine like terms: 108 + 54 = 162
54x = 162

Divide each side by '54'.
x = 3

Simplifying
x = 3

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