x+(x+1500)=5(x+1900)

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Solution for x+(x+1500)=5(x+1900) equation:


Simplifying
x + (x + 1500) = 5(x + 1900)

Reorder the terms:
x + (1500 + x) = 5(x + 1900)

Remove parenthesis around (1500 + x)
x + 1500 + x = 5(x + 1900)

Reorder the terms:
1500 + x + x = 5(x + 1900)

Combine like terms: x + x = 2x
1500 + 2x = 5(x + 1900)

Reorder the terms:
1500 + 2x = 5(1900 + x)
1500 + 2x = (1900 * 5 + x * 5)
1500 + 2x = (9500 + 5x)

Solving
1500 + 2x = 9500 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1500 + 2x + -5x = 9500 + 5x + -5x

Combine like terms: 2x + -5x = -3x
1500 + -3x = 9500 + 5x + -5x

Combine like terms: 5x + -5x = 0
1500 + -3x = 9500 + 0
1500 + -3x = 9500

Add '-1500' to each side of the equation.
1500 + -1500 + -3x = 9500 + -1500

Combine like terms: 1500 + -1500 = 0
0 + -3x = 9500 + -1500
-3x = 9500 + -1500

Combine like terms: 9500 + -1500 = 8000
-3x = 8000

Divide each side by '-3'.
x = -2666.666667

Simplifying
x = -2666.666667

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