4[1+(-2x-3)]=16x+28

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Solution for 4[1+(-2x-3)]=16x+28 equation:


Simplifying
4[1 + (-2x + -3)] = 16x + 28

Reorder the terms:
4[1 + (-3 + -2x)] = 16x + 28

Remove parenthesis around (-3 + -2x)
4[1 + -3 + -2x] = 16x + 28

Combine like terms: 1 + -3 = -2
4[-2 + -2x] = 16x + 28
[-2 * 4 + -2x * 4] = 16x + 28
[-8 + -8x] = 16x + 28

Reorder the terms:
-8 + -8x = 28 + 16x

Solving
-8 + -8x = 28 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-8 + -8x + -16x = 28 + 16x + -16x

Combine like terms: -8x + -16x = -24x
-8 + -24x = 28 + 16x + -16x

Combine like terms: 16x + -16x = 0
-8 + -24x = 28 + 0
-8 + -24x = 28

Add '8' to each side of the equation.
-8 + 8 + -24x = 28 + 8

Combine like terms: -8 + 8 = 0
0 + -24x = 28 + 8
-24x = 28 + 8

Combine like terms: 28 + 8 = 36
-24x = 36

Divide each side by '-24'.
x = -1.5

Simplifying
x = -1.5

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