5(2x+3)+2(x+5)=5

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Solution for 5(2x+3)+2(x+5)=5 equation:


Simplifying
5(2x + 3) + 2(x + 5) = 5

Reorder the terms:
5(3 + 2x) + 2(x + 5) = 5
(3 * 5 + 2x * 5) + 2(x + 5) = 5
(15 + 10x) + 2(x + 5) = 5

Reorder the terms:
15 + 10x + 2(5 + x) = 5
15 + 10x + (5 * 2 + x * 2) = 5
15 + 10x + (10 + 2x) = 5

Reorder the terms:
15 + 10 + 10x + 2x = 5

Combine like terms: 15 + 10 = 25
25 + 10x + 2x = 5

Combine like terms: 10x + 2x = 12x
25 + 12x = 5

Solving
25 + 12x = 5

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 12x = 5 + -25

Combine like terms: 25 + -25 = 0
0 + 12x = 5 + -25
12x = 5 + -25

Combine like terms: 5 + -25 = -20
12x = -20

Divide each side by '12'.
x = -1.666666667

Simplifying
x = -1.666666667

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