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

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


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

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

Reorder the terms:
-3 + 9x + 2(3 + x) = 4(2x + 3)
-3 + 9x + (3 * 2 + x * 2) = 4(2x + 3)
-3 + 9x + (6 + 2x) = 4(2x + 3)

Reorder the terms:
-3 + 6 + 9x + 2x = 4(2x + 3)

Combine like terms: -3 + 6 = 3
3 + 9x + 2x = 4(2x + 3)

Combine like terms: 9x + 2x = 11x
3 + 11x = 4(2x + 3)

Reorder the terms:
3 + 11x = 4(3 + 2x)
3 + 11x = (3 * 4 + 2x * 4)
3 + 11x = (12 + 8x)

Solving
3 + 11x = 12 + 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 + 11x + -8x = 12 + 8x + -8x

Combine like terms: 11x + -8x = 3x
3 + 3x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + 3x = 12 + 0
3 + 3x = 12

Add '-3' to each side of the equation.
3 + -3 + 3x = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = 12 + -3
3x = 12 + -3

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

Divide each side by '3'.
x = 3

Simplifying
x = 3

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