3(x+15)+8x=10(2x+6)

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Solution for 3(x+15)+8x=10(2x+6) equation:


Simplifying
3(x + 15) + 8x = 10(2x + 6)

Reorder the terms:
3(15 + x) + 8x = 10(2x + 6)
(15 * 3 + x * 3) + 8x = 10(2x + 6)
(45 + 3x) + 8x = 10(2x + 6)

Combine like terms: 3x + 8x = 11x
45 + 11x = 10(2x + 6)

Reorder the terms:
45 + 11x = 10(6 + 2x)
45 + 11x = (6 * 10 + 2x * 10)
45 + 11x = (60 + 20x)

Solving
45 + 11x = 60 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
45 + 11x + -20x = 60 + 20x + -20x

Combine like terms: 11x + -20x = -9x
45 + -9x = 60 + 20x + -20x

Combine like terms: 20x + -20x = 0
45 + -9x = 60 + 0
45 + -9x = 60

Add '-45' to each side of the equation.
45 + -45 + -9x = 60 + -45

Combine like terms: 45 + -45 = 0
0 + -9x = 60 + -45
-9x = 60 + -45

Combine like terms: 60 + -45 = 15
-9x = 15

Divide each side by '-9'.
x = -1.666666667

Simplifying
x = -1.666666667

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