2(x+6)-3(3x-4)=

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Solution for 2(x+6)-3(3x-4)= equation:


Simplifying
2(x + 6) + -3(3x + -4) = 0

Reorder the terms:
2(6 + x) + -3(3x + -4) = 0
(6 * 2 + x * 2) + -3(3x + -4) = 0
(12 + 2x) + -3(3x + -4) = 0

Reorder the terms:
12 + 2x + -3(-4 + 3x) = 0
12 + 2x + (-4 * -3 + 3x * -3) = 0
12 + 2x + (12 + -9x) = 0

Reorder the terms:
12 + 12 + 2x + -9x = 0

Combine like terms: 12 + 12 = 24
24 + 2x + -9x = 0

Combine like terms: 2x + -9x = -7x
24 + -7x = 0

Solving
24 + -7x = 0

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -7x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -7x = 0 + -24
-7x = 0 + -24

Combine like terms: 0 + -24 = -24
-7x = -24

Divide each side by '-7'.
x = 3.428571429

Simplifying
x = 3.428571429

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