4(x+6)=3-4(4x+4)

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


Simplifying
4(x + 6) = 3 + -4(4x + 4)

Reorder the terms:
4(6 + x) = 3 + -4(4x + 4)
(6 * 4 + x * 4) = 3 + -4(4x + 4)
(24 + 4x) = 3 + -4(4x + 4)

Reorder the terms:
24 + 4x = 3 + -4(4 + 4x)
24 + 4x = 3 + (4 * -4 + 4x * -4)
24 + 4x = 3 + (-16 + -16x)

Combine like terms: 3 + -16 = -13
24 + 4x = -13 + -16x

Solving
24 + 4x = -13 + -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.
24 + 4x + 16x = -13 + -16x + 16x

Combine like terms: 4x + 16x = 20x
24 + 20x = -13 + -16x + 16x

Combine like terms: -16x + 16x = 0
24 + 20x = -13 + 0
24 + 20x = -13

Add '-24' to each side of the equation.
24 + -24 + 20x = -13 + -24

Combine like terms: 24 + -24 = 0
0 + 20x = -13 + -24
20x = -13 + -24

Combine like terms: -13 + -24 = -37
20x = -37

Divide each side by '20'.
x = -1.85

Simplifying
x = -1.85

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