.03(x+40)+12.8=.4(10-x)+96

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Solution for .03(x+40)+12.8=.4(10-x)+96 equation:


Simplifying
0.03(x + 40) + 12.8 = 0.4(10 + -1x) + 96

Reorder the terms:
0.03(40 + x) + 12.8 = 0.4(10 + -1x) + 96
(40 * 0.03 + x * 0.03) + 12.8 = 0.4(10 + -1x) + 96
(1.2 + 0.03x) + 12.8 = 0.4(10 + -1x) + 96

Reorder the terms:
1.2 + 12.8 + 0.03x = 0.4(10 + -1x) + 96

Combine like terms: 1.2 + 12.8 = 14
14 + 0.03x = 0.4(10 + -1x) + 96
14 + 0.03x = (10 * 0.4 + -1x * 0.4) + 96
14 + 0.03x = (4 + -0.4x) + 96

Reorder the terms:
14 + 0.03x = 4 + 96 + -0.4x

Combine like terms: 4 + 96 = 100
14 + 0.03x = 100 + -0.4x

Solving
14 + 0.03x = 100 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
14 + 0.03x + 0.4x = 100 + -0.4x + 0.4x

Combine like terms: 0.03x + 0.4x = 0.43x
14 + 0.43x = 100 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
14 + 0.43x = 100 + 0.0
14 + 0.43x = 100

Add '-14' to each side of the equation.
14 + -14 + 0.43x = 100 + -14

Combine like terms: 14 + -14 = 0
0 + 0.43x = 100 + -14
0.43x = 100 + -14

Combine like terms: 100 + -14 = 86
0.43x = 86

Divide each side by '0.43'.
x = 200

Simplifying
x = 200

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