4*(x-50)=3.5*(x+50)

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Solution for 4*(x-50)=3.5*(x+50) equation: 


Simplifying
4(x + -50) = 3.5(x + 50)

Reorder the terms:
4(-50 + x) = 3.5(x + 50)
(-50 * 4 + x * 4) = 3.5(x + 50)
(-200 + 4x) = 3.5(x + 50)

Reorder the terms:
-200 + 4x = 3.5(50 + x)
-200 + 4x = (50 * 3.5 + x * 3.5)
-200 + 4x = (175 + 3.5x)

Solving
-200 + 4x = 175 + 3.5x

Solving for variable 'x'.

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

Add '-3.5x' to each side of the equation.
-200 + 4x + -3.5x = 175 + 3.5x + -3.5x

Combine like terms: 4x + -3.5x = 0.5x
-200 + 0.5x = 175 + 3.5x + -3.5x

Combine like terms: 3.5x + -3.5x = 0.0
-200 + 0.5x = 175 + 0.0
-200 + 0.5x = 175

Add '200' to each side of the equation.
-200 + 200 + 0.5x = 175 + 200

Combine like terms: -200 + 200 = 0
0 + 0.5x = 175 + 200
0.5x = 175 + 200

Combine like terms: 175 + 200 = 375
0.5x = 375

Divide each side by '0.5'.
x = 750

Simplifying
x = 750

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