3(5x+5)=6(x+4)

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Solution for 3(5x+5)=6(x+4) equation:


Simplifying
3(5x + 5) = 6(x + 4)

Reorder the terms:
3(5 + 5x) = 6(x + 4)
(5 * 3 + 5x * 3) = 6(x + 4)
(15 + 15x) = 6(x + 4)

Reorder the terms:
15 + 15x = 6(4 + x)
15 + 15x = (4 * 6 + x * 6)
15 + 15x = (24 + 6x)

Solving
15 + 15x = 24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 15x + -6x = 24 + 6x + -6x

Combine like terms: 15x + -6x = 9x
15 + 9x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + 9x = 24 + 0
15 + 9x = 24

Add '-15' to each side of the equation.
15 + -15 + 9x = 24 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = 24 + -15
9x = 24 + -15

Combine like terms: 24 + -15 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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