6(x+5)=2(x+25)

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Solution for 6(x+5)=2(x+25) equation:


Simplifying
6(x + 5) = 2(x + 25)

Reorder the terms:
6(5 + x) = 2(x + 25)
(5 * 6 + x * 6) = 2(x + 25)
(30 + 6x) = 2(x + 25)

Reorder the terms:
30 + 6x = 2(25 + x)
30 + 6x = (25 * 2 + x * 2)
30 + 6x = (50 + 2x)

Solving
30 + 6x = 50 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
30 + 6x + -2x = 50 + 2x + -2x

Combine like terms: 6x + -2x = 4x
30 + 4x = 50 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 4x = 50 + 0
30 + 4x = 50

Add '-30' to each side of the equation.
30 + -30 + 4x = 50 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = 50 + -30
4x = 50 + -30

Combine like terms: 50 + -30 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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