4(x-4)=(-2)(x-19)

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Solution for 4(x-4)=(-2)(x-19) equation:


Simplifying
4(x + -4) = (-2)(x + -19)

Reorder the terms:
4(-4 + x) = (-2)(x + -19)
(-4 * 4 + x * 4) = (-2)(x + -19)
(-16 + 4x) = (-2)(x + -19)

Reorder the terms:
-16 + 4x = -2(-19 + x)
-16 + 4x = (-19 * -2 + x * -2)
-16 + 4x = (38 + -2x)

Solving
-16 + 4x = 38 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-16 + 4x + 2x = 38 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-16 + 6x = 38 + -2x + 2x

Combine like terms: -2x + 2x = 0
-16 + 6x = 38 + 0
-16 + 6x = 38

Add '16' to each side of the equation.
-16 + 16 + 6x = 38 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 38 + 16
6x = 38 + 16

Combine like terms: 38 + 16 = 54
6x = 54

Divide each side by '6'.
x = 9

Simplifying
x = 9

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