4(x-1)=-2(x+19)

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Solution for 4(x-1)=-2(x+19) equation:


Simplifying
4(x + -1) = -2(x + 19)

Reorder the terms:
4(-1 + x) = -2(x + 19)
(-1 * 4 + x * 4) = -2(x + 19)
(-4 + 4x) = -2(x + 19)

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

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

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

Combine like terms: -2x + 2x = 0
-4 + 6x = -38 + 0
-4 + 6x = -38

Add '4' to each side of the equation.
-4 + 4 + 6x = -38 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = -38 + 4
6x = -38 + 4

Combine like terms: -38 + 4 = -34
6x = -34

Divide each side by '6'.
x = -5.666666667

Simplifying
x = -5.666666667

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