.20(20x+5)=-(x+10)

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Solution for .20(20x+5)=-(x+10) equation:


Simplifying
0.20(20x + 5) = -1(x + 10)

Reorder the terms:
0.20(5 + 20x) = -1(x + 10)
(5 * 0.20 + 20x * 0.20) = -1(x + 10)
(1 + 4x) = -1(x + 10)

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

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

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

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

Add '-1' to each side of the equation.
1 + -1 + 5x = -10 + -1

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

Combine like terms: -10 + -1 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

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