16(x+6)=4(x-14)

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Solution for 16(x+6)=4(x-14) equation:


Simplifying
16(x + 6) = 4(x + -14)

Reorder the terms:
16(6 + x) = 4(x + -14)
(6 * 16 + x * 16) = 4(x + -14)
(96 + 16x) = 4(x + -14)

Reorder the terms:
96 + 16x = 4(-14 + x)
96 + 16x = (-14 * 4 + x * 4)
96 + 16x = (-56 + 4x)

Solving
96 + 16x = -56 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
96 + 16x + -4x = -56 + 4x + -4x

Combine like terms: 16x + -4x = 12x
96 + 12x = -56 + 4x + -4x

Combine like terms: 4x + -4x = 0
96 + 12x = -56 + 0
96 + 12x = -56

Add '-96' to each side of the equation.
96 + -96 + 12x = -56 + -96

Combine like terms: 96 + -96 = 0
0 + 12x = -56 + -96
12x = -56 + -96

Combine like terms: -56 + -96 = -152
12x = -152

Divide each side by '12'.
x = -12.66666667

Simplifying
x = -12.66666667

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