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

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


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

Reorder the terms:
2(5 + 4x) = -1(5x + 1)
(5 * 2 + 4x * 2) = -1(5x + 1)
(10 + 8x) = -1(5x + 1)

Reorder the terms:
10 + 8x = -1(1 + 5x)
10 + 8x = (1 * -1 + 5x * -1)
10 + 8x = (-1 + -5x)

Solving
10 + 8x = -1 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
10 + 8x + 5x = -1 + -5x + 5x

Combine like terms: 8x + 5x = 13x
10 + 13x = -1 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 13x = -1 + 0
10 + 13x = -1

Add '-10' to each side of the equation.
10 + -10 + 13x = -1 + -10

Combine like terms: 10 + -10 = 0
0 + 13x = -1 + -10
13x = -1 + -10

Combine like terms: -1 + -10 = -11
13x = -11

Divide each side by '13'.
x = -0.8461538462

Simplifying
x = -0.8461538462

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