5(2x+6)-2(x+5)=0

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Solution for 5(2x+6)-2(x+5)=0 equation:


Simplifying
5(2x + 6) + -2(x + 5) = 0

Reorder the terms:
5(6 + 2x) + -2(x + 5) = 0
(6 * 5 + 2x * 5) + -2(x + 5) = 0
(30 + 10x) + -2(x + 5) = 0

Reorder the terms:
30 + 10x + -2(5 + x) = 0
30 + 10x + (5 * -2 + x * -2) = 0
30 + 10x + (-10 + -2x) = 0

Reorder the terms:
30 + -10 + 10x + -2x = 0

Combine like terms: 30 + -10 = 20
20 + 10x + -2x = 0

Combine like terms: 10x + -2x = 8x
20 + 8x = 0

Solving
20 + 8x = 0

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 8x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 8x = 0 + -20
8x = 0 + -20

Combine like terms: 0 + -20 = -20
8x = -20

Divide each side by '8'.
x = -2.5

Simplifying
x = -2.5

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