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

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


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

Multiply 5 * 6
2(30) + 2(x * 5) + 2(6x) = 5 * 6x

Multiply 2 * 30
60 + 2(x * 5) + 2(6x) = 5 * 6x

Reorder the terms for easier multiplication:
60 + 2(5x) + 2(6x) = 5 * 6x

Remove parenthesis around (5x)
60 + 2 * 5x + 2(6x) = 5 * 6x

Multiply 2 * 5
60 + 10x + 2(6x) = 5 * 6x

Remove parenthesis around (6x)
60 + 10x + 2 * 6x = 5 * 6x

Multiply 2 * 6
60 + 10x + 12x = 5 * 6x

Combine like terms: 10x + 12x = 22x
60 + 22x = 5 * 6x

Multiply 5 * 6
60 + 22x = 30x

Solving
60 + 22x = 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
60 + 22x + -30x = 30x + -30x

Combine like terms: 22x + -30x = -8x
60 + -8x = 30x + -30x

Combine like terms: 30x + -30x = 0
60 + -8x = 0

Add '-60' to each side of the equation.
60 + -60 + -8x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -8x = 0 + -60
-8x = 0 + -60

Combine like terms: 0 + -60 = -60
-8x = -60

Divide each side by '-8'.
x = 7.5

Simplifying
x = 7.5

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