2(3x(-4)+5)-6=3(-4)-8

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Solution for 2(3x(-4)+5)-6=3(-4)-8 equation:


Simplifying
2(3x(-4) + 5) + -6 = 3(-4) + -8

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

Multiply 3 * -4
2(-12x + 5) + -6 = 3(-4) + -8

Reorder the terms:
2(5 + -12x) + -6 = 3(-4) + -8
(5 * 2 + -12x * 2) + -6 = 3(-4) + -8
(10 + -24x) + -6 = 3(-4) + -8

Reorder the terms:
10 + -6 + -24x = 3(-4) + -8

Combine like terms: 10 + -6 = 4
4 + -24x = 3(-4) + -8

Multiply 3 * -4
4 + -24x = -12 + -8

Combine like terms: -12 + -8 = -20
4 + -24x = -20

Solving
4 + -24x = -20

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -24x = -20 + -4

Combine like terms: 4 + -4 = 0
0 + -24x = -20 + -4
-24x = -20 + -4

Combine like terms: -20 + -4 = -24
-24x = -24

Divide each side by '-24'.
x = 1

Simplifying
x = 1

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