6(x+2)=4(6-x)

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Solution for 6(x+2)=4(6-x) equation:


Simplifying
6(x + 2) = 4(6 + -1x)

Reorder the terms:
6(2 + x) = 4(6 + -1x)
(2 * 6 + x * 6) = 4(6 + -1x)
(12 + 6x) = 4(6 + -1x)
12 + 6x = (6 * 4 + -1x * 4)
12 + 6x = (24 + -4x)

Solving
12 + 6x = 24 + -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.
12 + 6x + 4x = 24 + -4x + 4x

Combine like terms: 6x + 4x = 10x
12 + 10x = 24 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 10x = 24 + 0
12 + 10x = 24

Add '-12' to each side of the equation.
12 + -12 + 10x = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = 24 + -12
10x = 24 + -12

Combine like terms: 24 + -12 = 12
10x = 12

Divide each side by '10'.
x = 1.2

Simplifying
x = 1.2

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