16(x+3)=4(x-9)

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Solution for 16(x+3)=4(x-9) equation: 


Simplifying
16(x + 3) = 4(x + -9)

Reorder the terms:
16(3 + x) = 4(x + -9)
(3 * 16 + x * 16) = 4(x + -9)
(48 + 16x) = 4(x + -9)

Reorder the terms:
48 + 16x = 4(-9 + x)
48 + 16x = (-9 * 4 + x * 4)
48 + 16x = (-36 + 4x)

Solving
48 + 16x = -36 + 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.
48 + 16x + -4x = -36 + 4x + -4x

Combine like terms: 16x + -4x = 12x
48 + 12x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
48 + 12x = -36 + 0
48 + 12x = -36

Add '-48' to each side of the equation.
48 + -48 + 12x = -36 + -48

Combine like terms: 48 + -48 = 0
0 + 12x = -36 + -48
12x = -36 + -48

Combine like terms: -36 + -48 = -84
12x = -84

Divide each side by '12'.
x = -7

Simplifying
x = -7

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