.01(900-30x)=9.8x+400

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Solution for .01(900-30x)=9.8x+400 equation:


Simplifying
0.01(900 + -30x) = 9.8x + 400
(900 * 0.01 + -30x * 0.01) = 9.8x + 400
(9 + -0.3x) = 9.8x + 400

Reorder the terms:
9 + -0.3x = 400 + 9.8x

Solving
9 + -0.3x = 400 + 9.8x

Solving for variable 'x'.

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

Add '-9.8x' to each side of the equation.
9 + -0.3x + -9.8x = 400 + 9.8x + -9.8x

Combine like terms: -0.3x + -9.8x = -10.1x
9 + -10.1x = 400 + 9.8x + -9.8x

Combine like terms: 9.8x + -9.8x = 0.0
9 + -10.1x = 400 + 0.0
9 + -10.1x = 400

Add '-9' to each side of the equation.
9 + -9 + -10.1x = 400 + -9

Combine like terms: 9 + -9 = 0
0 + -10.1x = 400 + -9
-10.1x = 400 + -9

Combine like terms: 400 + -9 = 391
-10.1x = 391

Divide each side by '-10.1'.
x = -38.71287129

Simplifying
x = -38.71287129

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