-16(x-1)=4(x-9)

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Solution for -16(x-1)=4(x-9) equation:


Simplifying
-16(x + -1) = 4(x + -9)

Reorder the terms:
-16(-1 + x) = 4(x + -9)
(-1 * -16 + x * -16) = 4(x + -9)
(16 + -16x) = 4(x + -9)

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

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

Combine like terms: -16x + -4x = -20x
16 + -20x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -20x = -36 + 0
16 + -20x = -36

Add '-16' to each side of the equation.
16 + -16 + -20x = -36 + -16

Combine like terms: 16 + -16 = 0
0 + -20x = -36 + -16
-20x = -36 + -16

Combine like terms: -36 + -16 = -52
-20x = -52

Divide each side by '-20'.
x = 2.6

Simplifying
x = 2.6

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