0.3(x+20)+0.4(x+15)=-13.7

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Solution for 0.3(x+20)+0.4(x+15)=-13.7 equation: 


Simplifying
0.3(x + 20) + 0.4(x + 15) = -13.7

Reorder the terms:
0.3(20 + x) + 0.4(x + 15) = -13.7
(20 * 0.3 + x * 0.3) + 0.4(x + 15) = -13.7
(6 + 0.3x) + 0.4(x + 15) = -13.7

Reorder the terms:
6 + 0.3x + 0.4(15 + x) = -13.7
6 + 0.3x + (15 * 0.4 + x * 0.4) = -13.7
6 + 0.3x + (6 + 0.4x) = -13.7

Reorder the terms:
6 + 6 + 0.3x + 0.4x = -13.7

Combine like terms: 6 + 6 = 12
12 + 0.3x + 0.4x = -13.7

Combine like terms: 0.3x + 0.4x = 0.7x
12 + 0.7x = -13.7

Solving
12 + 0.7x = -13.7

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 0.7x = -13.7 + -12

Combine like terms: 12 + -12 = 0
0 + 0.7x = -13.7 + -12
0.7x = -13.7 + -12

Combine like terms: -13.7 + -12 = -25.7
0.7x = -25.7

Divide each side by '0.7'.
x = -36.71428571

Simplifying
x = -36.71428571

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