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

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


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

Reorder the terms:
3 + 4(-2 + x) = 4[3 + -5(x + 4)]
3 + (-2 * 4 + x * 4) = 4[3 + -5(x + 4)]
3 + (-8 + 4x) = 4[3 + -5(x + 4)]

Combine like terms: 3 + -8 = -5
-5 + 4x = 4[3 + -5(x + 4)]

Reorder the terms:
-5 + 4x = 4[3 + -5(4 + x)]
-5 + 4x = 4[3 + (4 * -5 + x * -5)]
-5 + 4x = 4[3 + (-20 + -5x)]

Combine like terms: 3 + -20 = -17
-5 + 4x = 4[-17 + -5x]
-5 + 4x = [-17 * 4 + -5x * 4]
-5 + 4x = [-68 + -20x]

Solving
-5 + 4x = -68 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-5 + 4x + 20x = -68 + -20x + 20x

Combine like terms: 4x + 20x = 24x
-5 + 24x = -68 + -20x + 20x

Combine like terms: -20x + 20x = 0
-5 + 24x = -68 + 0
-5 + 24x = -68

Add '5' to each side of the equation.
-5 + 5 + 24x = -68 + 5

Combine like terms: -5 + 5 = 0
0 + 24x = -68 + 5
24x = -68 + 5

Combine like terms: -68 + 5 = -63
24x = -63

Divide each side by '24'.
x = -2.625

Simplifying
x = -2.625

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