6(2+x)=5(4+x)

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Solution for 6(2+x)=5(4+x) equation: 


Simplifying
6(2 + x) = 5(4 + x)
(2 * 6 + x * 6) = 5(4 + x)
(12 + 6x) = 5(4 + x)
12 + 6x = (4 * 5 + x * 5)
12 + 6x = (20 + 5x)

Solving
12 + 6x = 20 + 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.
12 + 6x + -5x = 20 + 5x + -5x

Combine like terms: 6x + -5x = 1x
12 + 1x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 1x = 20 + 0
12 + 1x = 20

Add '-12' to each side of the equation.
12 + -12 + 1x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 20 + -12
1x = 20 + -12

Combine like terms: 20 + -12 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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