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

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


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

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

Reorder the terms:
10 + 2x = 5 + -4(5 + x)
10 + 2x = 5 + (5 * -4 + x * -4)
10 + 2x = 5 + (-20 + -4x)

Combine like terms: 5 + -20 = -15
10 + 2x = -15 + -4x

Solving
10 + 2x = -15 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + 2x + 4x = -15 + -4x + 4x

Combine like terms: 2x + 4x = 6x
10 + 6x = -15 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 6x = -15 + 0
10 + 6x = -15

Add '-10' to each side of the equation.
10 + -10 + 6x = -15 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = -15 + -10
6x = -15 + -10

Combine like terms: -15 + -10 = -25
6x = -25

Divide each side by '6'.
x = -4.166666667

Simplifying
x = -4.166666667

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