2x+30=6(x+3)

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Solution for 2x+30=6(x+3) equation:


Simplifying
2x + 30 = 6(x + 3)

Reorder the terms:
30 + 2x = 6(x + 3)

Reorder the terms:
30 + 2x = 6(3 + x)
30 + 2x = (3 * 6 + x * 6)
30 + 2x = (18 + 6x)

Solving
30 + 2x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
30 + 2x + -6x = 18 + 6x + -6x

Combine like terms: 2x + -6x = -4x
30 + -4x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
30 + -4x = 18 + 0
30 + -4x = 18

Add '-30' to each side of the equation.
30 + -30 + -4x = 18 + -30

Combine like terms: 30 + -30 = 0
0 + -4x = 18 + -30
-4x = 18 + -30

Combine like terms: 18 + -30 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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