1000(x+40)=100(16+7x)

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Solution for 1000(x+40)=100(16+7x) equation:


Simplifying
1000(x + 40) = 100(16 + 7x)

Reorder the terms:
1000(40 + x) = 100(16 + 7x)
(40 * 1000 + x * 1000) = 100(16 + 7x)
(40000 + 1000x) = 100(16 + 7x)
40000 + 1000x = (16 * 100 + 7x * 100)
40000 + 1000x = (1600 + 700x)

Solving
40000 + 1000x = 1600 + 700x

Solving for variable 'x'.

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

Add '-700x' to each side of the equation.
40000 + 1000x + -700x = 1600 + 700x + -700x

Combine like terms: 1000x + -700x = 300x
40000 + 300x = 1600 + 700x + -700x

Combine like terms: 700x + -700x = 0
40000 + 300x = 1600 + 0
40000 + 300x = 1600

Add '-40000' to each side of the equation.
40000 + -40000 + 300x = 1600 + -40000

Combine like terms: 40000 + -40000 = 0
0 + 300x = 1600 + -40000
300x = 1600 + -40000

Combine like terms: 1600 + -40000 = -38400
300x = -38400

Divide each side by '300'.
x = -128

Simplifying
x = -128

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