(x+50)+x+3(50+x)=1000

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Solution for (x+50)+x+3(50+x)=1000 equation: 


Simplifying
(x + 50) + x + 3(50 + x) = 1000

Reorder the terms:
(50 + x) + x + 3(50 + x) = 1000

Remove parenthesis around (50 + x)
50 + x + x + 3(50 + x) = 1000
50 + x + x + (50 * 3 + x * 3) = 1000
50 + x + x + (150 + 3x) = 1000

Reorder the terms:
50 + 150 + x + x + 3x = 1000

Combine like terms: 50 + 150 = 200
200 + x + x + 3x = 1000

Combine like terms: x + x = 2x
200 + 2x + 3x = 1000

Combine like terms: 2x + 3x = 5x
200 + 5x = 1000

Solving
200 + 5x = 1000

Solving for variable 'x'.

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

Add '-200' to each side of the equation.
200 + -200 + 5x = 1000 + -200

Combine like terms: 200 + -200 = 0
0 + 5x = 1000 + -200
5x = 1000 + -200

Combine like terms: 1000 + -200 = 800
5x = 800

Divide each side by '5'.
x = 160

Simplifying
x = 160

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