3(5x+5)+45x=5(x+6)

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Solution for 3(5x+5)+45x=5(x+6) equation:


Simplifying
3(5x + 5) + 45x = 5(x + 6)

Reorder the terms:
3(5 + 5x) + 45x = 5(x + 6)
(5 * 3 + 5x * 3) + 45x = 5(x + 6)
(15 + 15x) + 45x = 5(x + 6)

Combine like terms: 15x + 45x = 60x
15 + 60x = 5(x + 6)

Reorder the terms:
15 + 60x = 5(6 + x)
15 + 60x = (6 * 5 + x * 5)
15 + 60x = (30 + 5x)

Solving
15 + 60x = 30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + 60x + -5x = 30 + 5x + -5x

Combine like terms: 60x + -5x = 55x
15 + 55x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + 55x = 30 + 0
15 + 55x = 30

Add '-15' to each side of the equation.
15 + -15 + 55x = 30 + -15

Combine like terms: 15 + -15 = 0
0 + 55x = 30 + -15
55x = 30 + -15

Combine like terms: 30 + -15 = 15
55x = 15

Divide each side by '55'.
x = 0.2727272727

Simplifying
x = 0.2727272727

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