2[7-(-4x-5)]=32x+54

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Solution for 2[7-(-4x-5)]=32x+54 equation: 


Simplifying
2[7 + -1(-4x + -5)] = 32x + 54

Reorder the terms:
2[7 + -1(-5 + -4x)] = 32x + 54
2[7 + (-5 * -1 + -4x * -1)] = 32x + 54
2[7 + (5 + 4x)] = 32x + 54

Combine like terms: 7 + 5 = 12
2[12 + 4x] = 32x + 54
[12 * 2 + 4x * 2] = 32x + 54
[24 + 8x] = 32x + 54

Reorder the terms:
24 + 8x = 54 + 32x

Solving
24 + 8x = 54 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
24 + 8x + -32x = 54 + 32x + -32x

Combine like terms: 8x + -32x = -24x
24 + -24x = 54 + 32x + -32x

Combine like terms: 32x + -32x = 0
24 + -24x = 54 + 0
24 + -24x = 54

Add '-24' to each side of the equation.
24 + -24 + -24x = 54 + -24

Combine like terms: 24 + -24 = 0
0 + -24x = 54 + -24
-24x = 54 + -24

Combine like terms: 54 + -24 = 30
-24x = 30

Divide each side by '-24'.
x = -1.25

Simplifying
x = -1.25

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