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

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


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

Reorder the terms:
3(-1 + 2x) + -4(3x + 2) = -2
(-1 * 3 + 2x * 3) + -4(3x + 2) = -2
(-3 + 6x) + -4(3x + 2) = -2

Reorder the terms:
-3 + 6x + -4(2 + 3x) = -2
-3 + 6x + (2 * -4 + 3x * -4) = -2
-3 + 6x + (-8 + -12x) = -2

Reorder the terms:
-3 + -8 + 6x + -12x = -2

Combine like terms: -3 + -8 = -11
-11 + 6x + -12x = -2

Combine like terms: 6x + -12x = -6x
-11 + -6x = -2

Solving
-11 + -6x = -2

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + -6x = -2 + 11

Combine like terms: -11 + 11 = 0
0 + -6x = -2 + 11
-6x = -2 + 11

Combine like terms: -2 + 11 = 9
-6x = 9

Divide each side by '-6'.
x = -1.5

Simplifying
x = -1.5

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