6*(x-50)=5*(x+50)

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Solution for 6*(x-50)=5*(x+50) equation: 


Simplifying
6(x + -50) = 5(x + 50)

Reorder the terms:
6(-50 + x) = 5(x + 50)
(-50 * 6 + x * 6) = 5(x + 50)
(-300 + 6x) = 5(x + 50)

Reorder the terms:
-300 + 6x = 5(50 + x)
-300 + 6x = (50 * 5 + x * 5)
-300 + 6x = (250 + 5x)

Solving
-300 + 6x = 250 + 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.
-300 + 6x + -5x = 250 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-300 + 1x = 250 + 5x + -5x

Combine like terms: 5x + -5x = 0
-300 + 1x = 250 + 0
-300 + 1x = 250

Add '300' to each side of the equation.
-300 + 300 + 1x = 250 + 300

Combine like terms: -300 + 300 = 0
0 + 1x = 250 + 300
1x = 250 + 300

Combine like terms: 250 + 300 = 550
1x = 550

Divide each side by '1'.
x = 550

Simplifying
x = 550

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