.90x+.15(600)=.80(x+600)

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Solution for .90x+.15(600)=.80(x+600) equation:


Simplifying
0.90x + 0.15(600) = 0.80(x + 600)

Multiply 0.15 * 600
0.90x + 90 = 0.80(x + 600)

Reorder the terms:
90 + 0.90x = 0.80(x + 600)

Reorder the terms:
90 + 0.90x = 0.80(600 + x)
90 + 0.90x = (600 * 0.80 + x * 0.80)
90 + 0.90x = (480 + 0.80x)

Solving
90 + 0.90x = 480 + 0.80x

Solving for variable 'x'.

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

Add '-0.80x' to each side of the equation.
90 + 0.90x + -0.80x = 480 + 0.80x + -0.80x

Combine like terms: 0.90x + -0.80x = 0.1x
90 + 0.1x = 480 + 0.80x + -0.80x

Combine like terms: 0.80x + -0.80x = 0.00
90 + 0.1x = 480 + 0.00
90 + 0.1x = 480

Add '-90' to each side of the equation.
90 + -90 + 0.1x = 480 + -90

Combine like terms: 90 + -90 = 0
0 + 0.1x = 480 + -90
0.1x = 480 + -90

Combine like terms: 480 + -90 = 390
0.1x = 390

Divide each side by '0.1'.
x = 3900

Simplifying
x = 3900

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