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

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


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

Reorder the terms:
3(4 + 3x) = 4(2x + 1)
(4 * 3 + 3x * 3) = 4(2x + 1)
(12 + 9x) = 4(2x + 1)

Reorder the terms:
12 + 9x = 4(1 + 2x)
12 + 9x = (1 * 4 + 2x * 4)
12 + 9x = (4 + 8x)

Solving
12 + 9x = 4 + 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.
12 + 9x + -8x = 4 + 8x + -8x

Combine like terms: 9x + -8x = 1x
12 + 1x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + 1x = 4 + 0
12 + 1x = 4

Add '-12' to each side of the equation.
12 + -12 + 1x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 4 + -12
1x = 4 + -12

Combine like terms: 4 + -12 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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