(5x)*6=(x+14)+(x+17)+(8x+9)

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Solution for (5x)*6=(x+14)+(x+17)+(8x+9) equation:


Simplifying
(5x) * 6 = (x + 14) + (x + 17) + (8x + 9)

Remove parenthesis around (5x)
5x * 6 = (x + 14) + (x + 17) + (8x + 9)

Reorder the terms for easier multiplication:
5 * 6x = (x + 14) + (x + 17) + (8x + 9)

Multiply 5 * 6
30x = (x + 14) + (x + 17) + (8x + 9)

Reorder the terms:
30x = (14 + x) + (x + 17) + (8x + 9)

Remove parenthesis around (14 + x)
30x = 14 + x + (x + 17) + (8x + 9)

Reorder the terms:
30x = 14 + x + (17 + x) + (8x + 9)

Remove parenthesis around (17 + x)
30x = 14 + x + 17 + x + (8x + 9)

Reorder the terms:
30x = 14 + x + 17 + x + (9 + 8x)

Remove parenthesis around (9 + 8x)
30x = 14 + x + 17 + x + 9 + 8x

Reorder the terms:
30x = 14 + 17 + 9 + x + x + 8x

Combine like terms: 14 + 17 = 31
30x = 31 + 9 + x + x + 8x

Combine like terms: 31 + 9 = 40
30x = 40 + x + x + 8x

Combine like terms: x + x = 2x
30x = 40 + 2x + 8x

Combine like terms: 2x + 8x = 10x
30x = 40 + 10x

Solving
30x = 40 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
30x + -10x = 40 + 10x + -10x

Combine like terms: 30x + -10x = 20x
20x = 40 + 10x + -10x

Combine like terms: 10x + -10x = 0
20x = 40 + 0
20x = 40

Divide each side by '20'.
x = 2

Simplifying
x = 2

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