4(x+5)=-2(x+1)

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Solution for 4(x+5)=-2(x+1) equation: 


Simplifying
4(x + 5) = -2(x + 1)

Reorder the terms:
4(5 + x) = -2(x + 1)
(5 * 4 + x * 4) = -2(x + 1)
(20 + 4x) = -2(x + 1)

Reorder the terms:
20 + 4x = -2(1 + x)
20 + 4x = (1 * -2 + x * -2)
20 + 4x = (-2 + -2x)

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

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

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

Add '-20' to each side of the equation.
20 + -20 + 6x = -2 + -20

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

Combine like terms: -2 + -20 = -22
6x = -22

Divide each side by '6'.
x = -3.666666667

Simplifying
x = -3.666666667

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