1000=x+3(x+50)

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


Simplifying
1000 = x + 3(x + 50)

Reorder the terms:
1000 = x + 3(50 + x)
1000 = x + (50 * 3 + x * 3)
1000 = x + (150 + 3x)

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

Combine like terms: x + 3x = 4x
1000 = 150 + 4x

Solving
1000 = 150 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1000 + -4x = 150 + 4x + -4x

Combine like terms: 4x + -4x = 0
1000 + -4x = 150 + 0
1000 + -4x = 150

Add '-1000' to each side of the equation.
1000 + -1000 + -4x = 150 + -1000

Combine like terms: 1000 + -1000 = 0
0 + -4x = 150 + -1000
-4x = 150 + -1000

Combine like terms: 150 + -1000 = -850
-4x = -850

Divide each side by '-4'.
x = 212.5

Simplifying
x = 212.5

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