3(5x-1)-54x=6+(8x+3)

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Solution for 3(5x-1)-54x=6+(8x+3) equation:


Simplifying
3(5x + -1) + -54x = 6 + (8x + 3)

Reorder the terms:
3(-1 + 5x) + -54x = 6 + (8x + 3)
(-1 * 3 + 5x * 3) + -54x = 6 + (8x + 3)
(-3 + 15x) + -54x = 6 + (8x + 3)

Combine like terms: 15x + -54x = -39x
-3 + -39x = 6 + (8x + 3)

Reorder the terms:
-3 + -39x = 6 + (3 + 8x)

Remove parenthesis around (3 + 8x)
-3 + -39x = 6 + 3 + 8x

Combine like terms: 6 + 3 = 9
-3 + -39x = 9 + 8x

Solving
-3 + -39x = 9 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + -39x + -8x = 9 + 8x + -8x

Combine like terms: -39x + -8x = -47x
-3 + -47x = 9 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -47x = 9 + 0
-3 + -47x = 9

Add '3' to each side of the equation.
-3 + 3 + -47x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + -47x = 9 + 3
-47x = 9 + 3

Combine like terms: 9 + 3 = 12
-47x = 12

Divide each side by '-47'.
x = -0.2553191489

Simplifying
x = -0.2553191489

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