6(x)+6(x)+30+30+x(5)+x(5)=6(5)(x)

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Solution for 6(x)+6(x)+30+30+x(5)+x(5)=6(5)(x) equation:


Simplifying
6(x) + 6(x) + 30 + 30 + x(5) + x(5) = 6(5)(x)

Reorder the terms for easier multiplication:
6x + 6x + 30 + 30 + 5x + x(5) = 6(5)(x)

Reorder the terms for easier multiplication:
6x + 6x + 30 + 30 + 5x + 5x = 6(5)(x)

Reorder the terms:
30 + 30 + 6x + 6x + 5x + 5x = 6(5)(x)

Combine like terms: 30 + 30 = 60
60 + 6x + 6x + 5x + 5x = 6(5)(x)

Combine like terms: 6x + 6x = 12x
60 + 12x + 5x + 5x = 6(5)(x)

Combine like terms: 12x + 5x = 17x
60 + 17x + 5x = 6(5)(x)

Combine like terms: 17x + 5x = 22x
60 + 22x = 6(5)(x)

Multiply 6 * 5
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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