.4(x+500)=(x+0.3*500)

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Solution for .4(x+500)=(x+0.3*500) equation:


Simplifying
0.4(x + 500) = (x + 0.3 * 500)

Reorder the terms:
0.4(500 + x) = (x + 0.3 * 500)
(500 * 0.4 + x * 0.4) = (x + 0.3 * 500)
(200 + 0.4x) = (x + 0.3 * 500)

Multiply 0.3 * 500
200 + 0.4x = (x + 150)

Reorder the terms:
200 + 0.4x = (150 + x)

Remove parenthesis around (150 + x)
200 + 0.4x = 150 + x

Solving
200 + 0.4x = 150 + x

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.
200 + 0.4x + -1x = 150 + x + -1x

Combine like terms: 0.4x + -1x = -0.6x
200 + -0.6x = 150 + x + -1x

Combine like terms: x + -1x = 0
200 + -0.6x = 150 + 0
200 + -0.6x = 150

Add '-200' to each side of the equation.
200 + -200 + -0.6x = 150 + -200

Combine like terms: 200 + -200 = 0
0 + -0.6x = 150 + -200
-0.6x = 150 + -200

Combine like terms: 150 + -200 = -50
-0.6x = -50

Divide each side by '-0.6'.
x = 83.33333333

Simplifying
x = 83.33333333

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