-2[3(x+4)-5x]+1=10

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Solution for -2[3(x+4)-5x]+1=10 equation: 


Simplifying
-2[3(x + 4) + -5x] + 1 = 10

Reorder the terms:
-2[3(4 + x) + -5x] + 1 = 10
-2[(4 * 3 + x * 3) + -5x] + 1 = 10
-2[(12 + 3x) + -5x] + 1 = 10

Combine like terms: 3x + -5x = -2x
-2[12 + -2x] + 1 = 10
[12 * -2 + -2x * -2] + 1 = 10
[-24 + 4x] + 1 = 10

Reorder the terms:
-24 + 1 + 4x = 10

Combine like terms: -24 + 1 = -23
-23 + 4x = 10

Solving
-23 + 4x = 10

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 4x = 10 + 23

Combine like terms: -23 + 23 = 0
0 + 4x = 10 + 23
4x = 10 + 23

Combine like terms: 10 + 23 = 33
4x = 33

Divide each side by '4'.
x = 8.25

Simplifying
x = 8.25

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