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

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


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

Reorder the terms for easier multiplication:
12 * 5x = (x + 7) + (x + 10) + (6x + 9)

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

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

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

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

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

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

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

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

Combine like terms: 7 + 10 = 17
60x = 17 + 9 + x + x + 6x

Combine like terms: 17 + 9 = 26
60x = 26 + x + x + 6x

Combine like terms: x + x = 2x
60x = 26 + 2x + 6x

Combine like terms: 2x + 6x = 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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