-4(9-2x)+6x=3(x+8)

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Solution for -4(9-2x)+6x=3(x+8) equation: 


Simplifying
-4(9 + -2x) + 6x = 3(x + 8)
(9 * -4 + -2x * -4) + 6x = 3(x + 8)
(-36 + 8x) + 6x = 3(x + 8)

Combine like terms: 8x + 6x = 14x
-36 + 14x = 3(x + 8)

Reorder the terms:
-36 + 14x = 3(8 + x)
-36 + 14x = (8 * 3 + x * 3)
-36 + 14x = (24 + 3x)

Solving
-36 + 14x = 24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-36 + 14x + -3x = 24 + 3x + -3x

Combine like terms: 14x + -3x = 11x
-36 + 11x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + 11x = 24 + 0
-36 + 11x = 24

Add '36' to each side of the equation.
-36 + 36 + 11x = 24 + 36

Combine like terms: -36 + 36 = 0
0 + 11x = 24 + 36
11x = 24 + 36

Combine like terms: 24 + 36 = 60
11x = 60

Divide each side by '11'.
x = 5.454545455

Simplifying
x = 5.454545455

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