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

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


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

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

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

Solving
30 + 10x = 10 + 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.
30 + 10x + -5x = 10 + 5x + -5x

Combine like terms: 10x + -5x = 5x
30 + 5x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 5x = 10 + 0
30 + 5x = 10

Add '-30' to each side of the equation.
30 + -30 + 5x = 10 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = 10 + -30
5x = 10 + -30

Combine like terms: 10 + -30 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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