3[2-4(2x-1)]=-10x-10

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Solution for 3[2-4(2x-1)]=-10x-10 equation:


Simplifying
3[2 + -4(2x + -1)] = -10x + -10

Reorder the terms:
3[2 + -4(-1 + 2x)] = -10x + -10
3[2 + (-1 * -4 + 2x * -4)] = -10x + -10
3[2 + (4 + -8x)] = -10x + -10

Combine like terms: 2 + 4 = 6
3[6 + -8x] = -10x + -10
[6 * 3 + -8x * 3] = -10x + -10
[18 + -24x] = -10x + -10

Reorder the terms:
18 + -24x = -10 + -10x

Solving
18 + -24x = -10 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
18 + -24x + 10x = -10 + -10x + 10x

Combine like terms: -24x + 10x = -14x
18 + -14x = -10 + -10x + 10x

Combine like terms: -10x + 10x = 0
18 + -14x = -10 + 0
18 + -14x = -10

Add '-18' to each side of the equation.
18 + -18 + -14x = -10 + -18

Combine like terms: 18 + -18 = 0
0 + -14x = -10 + -18
-14x = -10 + -18

Combine like terms: -10 + -18 = -28
-14x = -28

Divide each side by '-14'.
x = 2

Simplifying
x = 2

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