6(x-50)=3(x+50)

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Solution for 6(x-50)=3(x+50) equation: 


Simplifying
6(x + -50) = 3(x + 50)

Reorder the terms:
6(-50 + x) = 3(x + 50)
(-50 * 6 + x * 6) = 3(x + 50)
(-300 + 6x) = 3(x + 50)

Reorder the terms:
-300 + 6x = 3(50 + x)
-300 + 6x = (50 * 3 + x * 3)
-300 + 6x = (150 + 3x)

Solving
-300 + 6x = 150 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-300 + 6x + -3x = 150 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-300 + 3x = 150 + 3x + -3x

Combine like terms: 3x + -3x = 0
-300 + 3x = 150 + 0
-300 + 3x = 150

Add '300' to each side of the equation.
-300 + 300 + 3x = 150 + 300

Combine like terms: -300 + 300 = 0
0 + 3x = 150 + 300
3x = 150 + 300

Combine like terms: 150 + 300 = 450
3x = 450

Divide each side by '3'.
x = 150

Simplifying
x = 150

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