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 = 2x
-16 + 2x = -38 + 2x + -2x

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

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

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

Combine like terms: -38 + 16 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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