3(3-2x)+6(3x+1)=4x+47

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Solution for 3(3-2x)+6(3x+1)=4x+47 equation: 


Simplifying
3(3 + -2x) + 6(3x + 1) = 4x + 47
(3 * 3 + -2x * 3) + 6(3x + 1) = 4x + 47
(9 + -6x) + 6(3x + 1) = 4x + 47

Reorder the terms:
9 + -6x + 6(1 + 3x) = 4x + 47
9 + -6x + (1 * 6 + 3x * 6) = 4x + 47
9 + -6x + (6 + 18x) = 4x + 47

Reorder the terms:
9 + 6 + -6x + 18x = 4x + 47

Combine like terms: 9 + 6 = 15
15 + -6x + 18x = 4x + 47

Combine like terms: -6x + 18x = 12x
15 + 12x = 4x + 47

Reorder the terms:
15 + 12x = 47 + 4x

Solving
15 + 12x = 47 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 12x + -4x = 47 + 4x + -4x

Combine like terms: 12x + -4x = 8x
15 + 8x = 47 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 8x = 47 + 0
15 + 8x = 47

Add '-15' to each side of the equation.
15 + -15 + 8x = 47 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = 47 + -15
8x = 47 + -15

Combine like terms: 47 + -15 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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