-6(9x+5)-3x+4x=-408+x

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Solution for -6(9x+5)-3x+4x=-408+x equation: 


Simplifying
-6(9x + 5) + -3x + 4x = -408 + x

Reorder the terms:
-6(5 + 9x) + -3x + 4x = -408 + x
(5 * -6 + 9x * -6) + -3x + 4x = -408 + x
(-30 + -54x) + -3x + 4x = -408 + x

Combine like terms: -54x + -3x = -57x
-30 + -57x + 4x = -408 + x

Combine like terms: -57x + 4x = -53x
-30 + -53x = -408 + x

Solving
-30 + -53x = -408 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-30 + -53x + -1x = -408 + x + -1x

Combine like terms: -53x + -1x = -54x
-30 + -54x = -408 + x + -1x

Combine like terms: x + -1x = 0
-30 + -54x = -408 + 0
-30 + -54x = -408

Add '30' to each side of the equation.
-30 + 30 + -54x = -408 + 30

Combine like terms: -30 + 30 = 0
0 + -54x = -408 + 30
-54x = -408 + 30

Combine like terms: -408 + 30 = -378
-54x = -378

Divide each side by '-54'.
x = 7

Simplifying
x = 7

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