3(3x)+2(5)=69x-500

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Solution for 3(3x)+2(5)=69x-500 equation:


Simplifying
3(3x) + 2(5) = 69x + -500

Remove parenthesis around (3x)
3 * 3x + 2(5) = 69x + -500

Multiply 3 * 3
9x + 2(5) = 69x + -500

Multiply 2 * 5
9x + 10 = 69x + -500

Reorder the terms:
10 + 9x = 69x + -500

Reorder the terms:
10 + 9x = -500 + 69x

Solving
10 + 9x = -500 + 69x

Solving for variable 'x'.

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

Add '-69x' to each side of the equation.
10 + 9x + -69x = -500 + 69x + -69x

Combine like terms: 9x + -69x = -60x
10 + -60x = -500 + 69x + -69x

Combine like terms: 69x + -69x = 0
10 + -60x = -500 + 0
10 + -60x = -500

Add '-10' to each side of the equation.
10 + -10 + -60x = -500 + -10

Combine like terms: 10 + -10 = 0
0 + -60x = -500 + -10
-60x = -500 + -10

Combine like terms: -500 + -10 = -510
-60x = -510

Divide each side by '-60'.
x = 8.5

Simplifying
x = 8.5

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