0.28(x+50)+0.43(x+30)=-29.9

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Solution for 0.28(x+50)+0.43(x+30)=-29.9 equation: 


Simplifying
0.28(x + 50) + 0.43(x + 30) = -29.9

Reorder the terms:
0.28(50 + x) + 0.43(x + 30) = -29.9
(50 * 0.28 + x * 0.28) + 0.43(x + 30) = -29.9
(14 + 0.28x) + 0.43(x + 30) = -29.9

Reorder the terms:
14 + 0.28x + 0.43(30 + x) = -29.9
14 + 0.28x + (30 * 0.43 + x * 0.43) = -29.9
14 + 0.28x + (12.9 + 0.43x) = -29.9

Reorder the terms:
14 + 12.9 + 0.28x + 0.43x = -29.9

Combine like terms: 14 + 12.9 = 26.9
26.9 + 0.28x + 0.43x = -29.9

Combine like terms: 0.28x + 0.43x = 0.71x
26.9 + 0.71x = -29.9

Solving
26.9 + 0.71x = -29.9

Solving for variable 'x'.

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

Add '-26.9' to each side of the equation.
26.9 + -26.9 + 0.71x = -29.9 + -26.9

Combine like terms: 26.9 + -26.9 = 0.0
0.0 + 0.71x = -29.9 + -26.9
0.71x = -29.9 + -26.9

Combine like terms: -29.9 + -26.9 = -56.8
0.71x = -56.8

Divide each side by '0.71'.
x = -80

Simplifying
x = -80

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