4(x-5)=-2(x+9)

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Solution for 4(x-5)=-2(x+9) equation:


Simplifying
4(x + -5) = -2(x + 9)

Reorder the terms:
4(-5 + x) = -2(x + 9)
(-5 * 4 + x * 4) = -2(x + 9)
(-20 + 4x) = -2(x + 9)

Reorder the terms:
-20 + 4x = -2(9 + x)
-20 + 4x = (9 * -2 + x * -2)
-20 + 4x = (-18 + -2x)

Solving
-20 + 4x = -18 + -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.
-20 + 4x + 2x = -18 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-20 + 6x = -18 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 6x = -18 + 0
-20 + 6x = -18

Add '20' to each side of the equation.
-20 + 20 + 6x = -18 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = -18 + 20
6x = -18 + 20

Combine like terms: -18 + 20 = 2
6x = 2

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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