3(3x-4)=-11-2(2x+3)

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Solution for 3(3x-4)=-11-2(2x+3) equation:


Simplifying
3(3x + -4) = -11 + -2(2x + 3)

Reorder the terms:
3(-4 + 3x) = -11 + -2(2x + 3)
(-4 * 3 + 3x * 3) = -11 + -2(2x + 3)
(-12 + 9x) = -11 + -2(2x + 3)

Reorder the terms:
-12 + 9x = -11 + -2(3 + 2x)
-12 + 9x = -11 + (3 * -2 + 2x * -2)
-12 + 9x = -11 + (-6 + -4x)

Combine like terms: -11 + -6 = -17
-12 + 9x = -17 + -4x

Solving
-12 + 9x = -17 + -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.
-12 + 9x + 4x = -17 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-12 + 13x = -17 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 13x = -17 + 0
-12 + 13x = -17

Add '12' to each side of the equation.
-12 + 12 + 13x = -17 + 12

Combine like terms: -12 + 12 = 0
0 + 13x = -17 + 12
13x = -17 + 12

Combine like terms: -17 + 12 = -5
13x = -5

Divide each side by '13'.
x = -0.3846153846

Simplifying
x = -0.3846153846

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