208-3x=(x+1)+(x+2)+(x+3)+(x+4)-50

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Solution for 208-3x=(x+1)+(x+2)+(x+3)+(x+4)-50 equation: 


Simplifying
208 + -3x = (x + 1) + (x + 2) + (x + 3) + (x + 4) + -50

Reorder the terms:
208 + -3x = (1 + x) + (x + 2) + (x + 3) + (x + 4) + -50

Remove parenthesis around (1 + x)
208 + -3x = 1 + x + (x + 2) + (x + 3) + (x + 4) + -50

Reorder the terms:
208 + -3x = 1 + x + (2 + x) + (x + 3) + (x + 4) + -50

Remove parenthesis around (2 + x)
208 + -3x = 1 + x + 2 + x + (x + 3) + (x + 4) + -50

Reorder the terms:
208 + -3x = 1 + x + 2 + x + (3 + x) + (x + 4) + -50

Remove parenthesis around (3 + x)
208 + -3x = 1 + x + 2 + x + 3 + x + (x + 4) + -50

Reorder the terms:
208 + -3x = 1 + x + 2 + x + 3 + x + (4 + x) + -50

Remove parenthesis around (4 + x)
208 + -3x = 1 + x + 2 + x + 3 + x + 4 + x + -50

Reorder the terms:
208 + -3x = 1 + 2 + 3 + 4 + -50 + x + x + x + x

Combine like terms: 1 + 2 = 3
208 + -3x = 3 + 3 + 4 + -50 + x + x + x + x

Combine like terms: 3 + 3 = 6
208 + -3x = 6 + 4 + -50 + x + x + x + x

Combine like terms: 6 + 4 = 10
208 + -3x = 10 + -50 + x + x + x + x

Combine like terms: 10 + -50 = -40
208 + -3x = -40 + x + x + x + x

Combine like terms: x + x = 2x
208 + -3x = -40 + 2x + x + x

Combine like terms: 2x + x = 3x
208 + -3x = -40 + 3x + x

Combine like terms: 3x + x = 4x
208 + -3x = -40 + 4x

Solving
208 + -3x = -40 + 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.
208 + -3x + -4x = -40 + 4x + -4x

Combine like terms: -3x + -4x = -7x
208 + -7x = -40 + 4x + -4x

Combine like terms: 4x + -4x = 0
208 + -7x = -40 + 0
208 + -7x = -40

Add '-208' to each side of the equation.
208 + -208 + -7x = -40 + -208

Combine like terms: 208 + -208 = 0
0 + -7x = -40 + -208
-7x = -40 + -208

Combine like terms: -40 + -208 = -248
-7x = -248

Divide each side by '-7'.
x = 35.42857143

Simplifying
x = 35.42857143

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