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

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


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

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

Reorder the terms:
12 + 2x + 9x = 3x + -2

Combine like terms: 2x + 9x = 11x
12 + 11x = 3x + -2

Reorder the terms:
12 + 11x = -2 + 3x

Solving
12 + 11x = -2 + 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.
12 + 11x + -3x = -2 + 3x + -3x

Combine like terms: 11x + -3x = 8x
12 + 8x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 8x = -2 + 0
12 + 8x = -2

Add '-12' to each side of the equation.
12 + -12 + 8x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + 8x = -2 + -12
8x = -2 + -12

Combine like terms: -2 + -12 = -14
8x = -14

Divide each side by '8'.
x = -1.75

Simplifying
x = -1.75

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