3x+500=1x+1000+500+100

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Solution for 3x+500=1x+1000+500+100 equation:


Simplifying
3x + 500 = 1x + 1000 + 500 + 100

Reorder the terms:
500 + 3x = 1x + 1000 + 500 + 100

Reorder the terms:
500 + 3x = 1000 + 500 + 100 + 1x

Combine like terms: 1000 + 500 = 1500
500 + 3x = 1500 + 100 + 1x

Combine like terms: 1500 + 100 = 1600
500 + 3x = 1600 + 1x

Solving
500 + 3x = 1600 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
500 + 3x + -1x = 1600 + 1x + -1x

Combine like terms: 3x + -1x = 2x
500 + 2x = 1600 + 1x + -1x

Combine like terms: 1x + -1x = 0
500 + 2x = 1600 + 0
500 + 2x = 1600

Add '-500' to each side of the equation.
500 + -500 + 2x = 1600 + -500

Combine like terms: 500 + -500 = 0
0 + 2x = 1600 + -500
2x = 1600 + -500

Combine like terms: 1600 + -500 = 1100
2x = 1100

Divide each side by '2'.
x = 550

Simplifying
x = 550

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