3(3x+1)=9x+4(2x-1)

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Solution for 3(3x+1)=9x+4(2x-1) equation:


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

Reorder the terms:
3(1 + 3x) = 9x + 4(2x + -1)
(1 * 3 + 3x * 3) = 9x + 4(2x + -1)
(3 + 9x) = 9x + 4(2x + -1)

Reorder the terms:
3 + 9x = 9x + 4(-1 + 2x)
3 + 9x = 9x + (-1 * 4 + 2x * 4)
3 + 9x = 9x + (-4 + 8x)

Reorder the terms:
3 + 9x = -4 + 9x + 8x

Combine like terms: 9x + 8x = 17x
3 + 9x = -4 + 17x

Solving
3 + 9x = -4 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
3 + 9x + -17x = -4 + 17x + -17x

Combine like terms: 9x + -17x = -8x
3 + -8x = -4 + 17x + -17x

Combine like terms: 17x + -17x = 0
3 + -8x = -4 + 0
3 + -8x = -4

Add '-3' to each side of the equation.
3 + -3 + -8x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = -4 + -3
-8x = -4 + -3

Combine like terms: -4 + -3 = -7
-8x = -7

Divide each side by '-8'.
x = 0.875

Simplifying
x = 0.875

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