3.1(5.1-5.8a)+2.5(a+4.2)=-29.418

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Solution for 3.1(5.1-5.8a)+2.5(a+4.2)=-29.418 equation:


Simplifying
3.1(5.1 + -5.8a) + 2.5(a + 4.2) = -29.418
(5.1 * 3.1 + -5.8a * 3.1) + 2.5(a + 4.2) = -29.418
(15.81 + -17.98a) + 2.5(a + 4.2) = -29.418

Reorder the terms:
15.81 + -17.98a + 2.5(4.2 + a) = -29.418
15.81 + -17.98a + (4.2 * 2.5 + a * 2.5) = -29.418
15.81 + -17.98a + (10.5 + 2.5a) = -29.418

Reorder the terms:
15.81 + 10.5 + -17.98a + 2.5a = -29.418

Combine like terms: 15.81 + 10.5 = 26.31
26.31 + -17.98a + 2.5a = -29.418

Combine like terms: -17.98a + 2.5a = -15.48a
26.31 + -15.48a = -29.418

Solving
26.31 + -15.48a = -29.418

Solving for variable 'a'.

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

Add '-26.31' to each side of the equation.
26.31 + -26.31 + -15.48a = -29.418 + -26.31

Combine like terms: 26.31 + -26.31 = 0.00
0.00 + -15.48a = -29.418 + -26.31
-15.48a = -29.418 + -26.31

Combine like terms: -29.418 + -26.31 = -55.728
-15.48a = -55.728

Divide each side by '-15.48'.
a = 3.6

Simplifying
a = 3.6

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