5(12x)=(x+7)+(6x+9)+(x+10)

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Solution for 5(12x)=(x+7)+(6x+9)+(x+10) equation:


Simplifying
5(12x) = (x + 7) + (6x + 9) + (x + 10)

Remove parenthesis around (12x)
5 * 12x = (x + 7) + (6x + 9) + (x + 10)

Multiply 5 * 12
60x = (x + 7) + (6x + 9) + (x + 10)

Reorder the terms:
60x = (7 + x) + (6x + 9) + (x + 10)

Remove parenthesis around (7 + x)
60x = 7 + x + (6x + 9) + (x + 10)

Reorder the terms:
60x = 7 + x + (9 + 6x) + (x + 10)

Remove parenthesis around (9 + 6x)
60x = 7 + x + 9 + 6x + (x + 10)

Reorder the terms:
60x = 7 + x + 9 + 6x + (10 + x)

Remove parenthesis around (10 + x)
60x = 7 + x + 9 + 6x + 10 + x

Reorder the terms:
60x = 7 + 9 + 10 + x + 6x + x

Combine like terms: 7 + 9 = 16
60x = 16 + 10 + x + 6x + x

Combine like terms: 16 + 10 = 26
60x = 26 + x + 6x + x

Combine like terms: x + 6x = 7x
60x = 26 + 7x + x

Combine like terms: 7x + x = 8x
60x = 26 + 8x

Solving
60x = 26 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
60x + -8x = 26 + 8x + -8x

Combine like terms: 60x + -8x = 52x
52x = 26 + 8x + -8x

Combine like terms: 8x + -8x = 0
52x = 26 + 0
52x = 26

Divide each side by '52'.
x = 0.5

Simplifying
x = 0.5

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