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

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


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

Reorder the terms:
2[x + -3(4 + x)] = 10
2[x + (4 * -3 + x * -3)] = 10
2[x + (-12 + -3x)] = 10

Reorder the terms:
2[-12 + x + -3x] = 10

Combine like terms: x + -3x = -2x
2[-12 + -2x] = 10
[-12 * 2 + -2x * 2] = 10
[-24 + -4x] = 10

Solving
-24 + -4x = 10

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 + -4x = 10 + 24

Combine like terms: -24 + 24 = 0
0 + -4x = 10 + 24
-4x = 10 + 24

Combine like terms: 10 + 24 = 34
-4x = 34

Divide each side by '-4'.
x = -8.5

Simplifying
x = -8.5

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