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

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


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

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

Reorder the terms:
-20 + 4x = -2(4 + x)
-20 + 4x = (4 * -2 + x * -2)
-20 + 4x = (-8 + -2x)

Solving
-20 + 4x = -8 + -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 = -8 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-20 + 6x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 6x = -8 + 0
-20 + 6x = -8

Add '20' to each side of the equation.
-20 + 20 + 6x = -8 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = -8 + 20
6x = -8 + 20

Combine like terms: -8 + 20 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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