3(3x+5)-5(x+5)=60

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Solution for 3(3x+5)-5(x+5)=60 equation:


Simplifying
3(3x + 5) + -5(x + 5) = 60

Reorder the terms:
3(5 + 3x) + -5(x + 5) = 60
(5 * 3 + 3x * 3) + -5(x + 5) = 60
(15 + 9x) + -5(x + 5) = 60

Reorder the terms:
15 + 9x + -5(5 + x) = 60
15 + 9x + (5 * -5 + x * -5) = 60
15 + 9x + (-25 + -5x) = 60

Reorder the terms:
15 + -25 + 9x + -5x = 60

Combine like terms: 15 + -25 = -10
-10 + 9x + -5x = 60

Combine like terms: 9x + -5x = 4x
-10 + 4x = 60

Solving
-10 + 4x = 60

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 4x = 60 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 60 + 10
4x = 60 + 10

Combine like terms: 60 + 10 = 70
4x = 70

Divide each side by '4'.
x = 17.5

Simplifying
x = 17.5

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