x+(x+100)+2(x-300)=2100

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Solution for x+(x+100)+2(x-300)=2100 equation: 


Simplifying
x + (x + 100) + 2(x + -300) = 2100

Reorder the terms:
x + (100 + x) + 2(x + -300) = 2100

Remove parenthesis around (100 + x)
x + 100 + x + 2(x + -300) = 2100

Reorder the terms:
x + 100 + x + 2(-300 + x) = 2100
x + 100 + x + (-300 * 2 + x * 2) = 2100
x + 100 + x + (-600 + 2x) = 2100

Reorder the terms:
100 + -600 + x + x + 2x = 2100

Combine like terms: 100 + -600 = -500
-500 + x + x + 2x = 2100

Combine like terms: x + x = 2x
-500 + 2x + 2x = 2100

Combine like terms: 2x + 2x = 4x
-500 + 4x = 2100

Solving
-500 + 4x = 2100

Solving for variable 'x'.

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

Add '500' to each side of the equation.
-500 + 500 + 4x = 2100 + 500

Combine like terms: -500 + 500 = 0
0 + 4x = 2100 + 500
4x = 2100 + 500

Combine like terms: 2100 + 500 = 2600
4x = 2600

Divide each side by '4'.
x = 650

Simplifying
x = 650

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