6+4(x-5)=4[6-3(x+4)]

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Solution for 6+4(x-5)=4[6-3(x+4)] equation:


Simplifying
6 + 4(x + -5) = 4[6 + -3(x + 4)]

Reorder the terms:
6 + 4(-5 + x) = 4[6 + -3(x + 4)]
6 + (-5 * 4 + x * 4) = 4[6 + -3(x + 4)]
6 + (-20 + 4x) = 4[6 + -3(x + 4)]

Combine like terms: 6 + -20 = -14
-14 + 4x = 4[6 + -3(x + 4)]

Reorder the terms:
-14 + 4x = 4[6 + -3(4 + x)]
-14 + 4x = 4[6 + (4 * -3 + x * -3)]
-14 + 4x = 4[6 + (-12 + -3x)]

Combine like terms: 6 + -12 = -6
-14 + 4x = 4[-6 + -3x]
-14 + 4x = [-6 * 4 + -3x * 4]
-14 + 4x = [-24 + -12x]

Solving
-14 + 4x = -24 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-14 + 4x + 12x = -24 + -12x + 12x

Combine like terms: 4x + 12x = 16x
-14 + 16x = -24 + -12x + 12x

Combine like terms: -12x + 12x = 0
-14 + 16x = -24 + 0
-14 + 16x = -24

Add '14' to each side of the equation.
-14 + 14 + 16x = -24 + 14

Combine like terms: -14 + 14 = 0
0 + 16x = -24 + 14
16x = -24 + 14

Combine like terms: -24 + 14 = -10
16x = -10

Divide each side by '16'.
x = -0.625

Simplifying
x = -0.625

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