3(3)x+2(5)=60x-500

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Solution for 3(3)x+2(5)=60x-500 equation: 


Simplifying
3(3) * x + 2(5) = 60x + -500

Multiply 3 * 3
9x + 2(5) = 60x + -500

Multiply 2 * 5
9x + 10 = 60x + -500

Reorder the terms:
10 + 9x = 60x + -500

Reorder the terms:
10 + 9x = -500 + 60x

Solving
10 + 9x = -500 + 60x

Solving for variable 'x'.

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

Add '-60x' to each side of the equation.
10 + 9x + -60x = -500 + 60x + -60x

Combine like terms: 9x + -60x = -51x
10 + -51x = -500 + 60x + -60x

Combine like terms: 60x + -60x = 0
10 + -51x = -500 + 0
10 + -51x = -500

Add '-10' to each side of the equation.
10 + -10 + -51x = -500 + -10

Combine like terms: 10 + -10 = 0
0 + -51x = -500 + -10
-51x = -500 + -10

Combine like terms: -500 + -10 = -510
-51x = -510

Divide each side by '-51'.
x = 10

Simplifying
x = 10

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