2(3x+4)-6(4x-5)=

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Solution for 2(3x+4)-6(4x-5)= equation:


Simplifying
2(3x + 4) + -6(4x + -5) = 0

Reorder the terms:
2(4 + 3x) + -6(4x + -5) = 0
(4 * 2 + 3x * 2) + -6(4x + -5) = 0
(8 + 6x) + -6(4x + -5) = 0

Reorder the terms:
8 + 6x + -6(-5 + 4x) = 0
8 + 6x + (-5 * -6 + 4x * -6) = 0
8 + 6x + (30 + -24x) = 0

Reorder the terms:
8 + 30 + 6x + -24x = 0

Combine like terms: 8 + 30 = 38
38 + 6x + -24x = 0

Combine like terms: 6x + -24x = -18x
38 + -18x = 0

Solving
38 + -18x = 0

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + -18x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -18x = 0 + -38
-18x = 0 + -38

Combine like terms: 0 + -38 = -38
-18x = -38

Divide each side by '-18'.
x = 2.111111111

Simplifying
x = 2.111111111

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