50(x-2)-15(x+3)=240

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Solution for 50(x-2)-15(x+3)=240 equation: 


Simplifying
50(x + -2) + -15(x + 3) = 240

Reorder the terms:
50(-2 + x) + -15(x + 3) = 240
(-2 * 50 + x * 50) + -15(x + 3) = 240
(-100 + 50x) + -15(x + 3) = 240

Reorder the terms:
-100 + 50x + -15(3 + x) = 240
-100 + 50x + (3 * -15 + x * -15) = 240
-100 + 50x + (-45 + -15x) = 240

Reorder the terms:
-100 + -45 + 50x + -15x = 240

Combine like terms: -100 + -45 = -145
-145 + 50x + -15x = 240

Combine like terms: 50x + -15x = 35x
-145 + 35x = 240

Solving
-145 + 35x = 240

Solving for variable 'x'.

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

Add '145' to each side of the equation.
-145 + 145 + 35x = 240 + 145

Combine like terms: -145 + 145 = 0
0 + 35x = 240 + 145
35x = 240 + 145

Combine like terms: 240 + 145 = 385
35x = 385

Divide each side by '35'.
x = 11

Simplifying
x = 11

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