4(x+5)=-x-10

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Solution for 4(x+5)=-x-10 equation:


Simplifying
4(x + 5) = -1x + -10

Reorder the terms:
4(5 + x) = -1x + -10
(5 * 4 + x * 4) = -1x + -10
(20 + 4x) = -1x + -10

Reorder the terms:
20 + 4x = -10 + -1x

Solving
20 + 4x = -10 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
20 + 4x + x = -10 + -1x + x

Combine like terms: 4x + x = 5x
20 + 5x = -10 + -1x + x

Combine like terms: -1x + x = 0
20 + 5x = -10 + 0
20 + 5x = -10

Add '-20' to each side of the equation.
20 + -20 + 5x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = -10 + -20
5x = -10 + -20

Combine like terms: -10 + -20 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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