6(x+6)=2(-2x+30)

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


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

Reorder the terms:
6(6 + x) = 2(-2x + 30)
(6 * 6 + x * 6) = 2(-2x + 30)
(36 + 6x) = 2(-2x + 30)

Reorder the terms:
36 + 6x = 2(30 + -2x)
36 + 6x = (30 * 2 + -2x * 2)
36 + 6x = (60 + -4x)

Solving
36 + 6x = 60 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
36 + 6x + 4x = 60 + -4x + 4x

Combine like terms: 6x + 4x = 10x
36 + 10x = 60 + -4x + 4x

Combine like terms: -4x + 4x = 0
36 + 10x = 60 + 0
36 + 10x = 60

Add '-36' to each side of the equation.
36 + -36 + 10x = 60 + -36

Combine like terms: 36 + -36 = 0
0 + 10x = 60 + -36
10x = 60 + -36

Combine like terms: 60 + -36 = 24
10x = 24

Divide each side by '10'.
x = 2.4

Simplifying
x = 2.4

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