4x+2(400-x)=1000

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Solution for 4x+2(400-x)=1000 equation:


Simplifying
4x + 2(400 + -1x) = 1000
4x + (400 * 2 + -1x * 2) = 1000
4x + (800 + -2x) = 1000

Reorder the terms:
800 + 4x + -2x = 1000

Combine like terms: 4x + -2x = 2x
800 + 2x = 1000

Solving
800 + 2x = 1000

Solving for variable 'x'.

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

Add '-800' to each side of the equation.
800 + -800 + 2x = 1000 + -800

Combine like terms: 800 + -800 = 0
0 + 2x = 1000 + -800
2x = 1000 + -800

Combine like terms: 1000 + -800 = 200
2x = 200

Divide each side by '2'.
x = 100

Simplifying
x = 100

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