2.4(a-26)=0.1(a+1.5)

Solution for 2.4(a-26)=0.1(a+1.5) equation:

Simplifying
2.4(a + -26) = 0.1(a + 1.5)

Reorder the terms:
2.4(-26 + a) = 0.1(a + 1.5)
(-26 * 2.4 + a * 2.4) = 0.1(a + 1.5)
(-62.4 + 2.4a) = 0.1(a + 1.5)

Reorder the terms:
-62.4 + 2.4a = 0.1(1.5 + a)
-62.4 + 2.4a = (1.5 * 0.1 + a * 0.1)
-62.4 + 2.4a = (0.15 + 0.1a)

Solving
-62.4 + 2.4a = 0.15 + 0.1a

Solving for variable 'a'.

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

Add '-0.1a' to each side of the equation.
-62.4 + 2.4a + -0.1a = 0.15 + 0.1a + -0.1a

Combine like terms: 2.4a + -0.1a = 2.3a
-62.4 + 2.3a = 0.15 + 0.1a + -0.1a

Combine like terms: 0.1a + -0.1a = 0.0
-62.4 + 2.3a = 0.15 + 0.0
-62.4 + 2.3a = 0.15

Add '62.4' to each side of the equation.
-62.4 + 62.4 + 2.3a = 0.15 + 62.4

Combine like terms: -62.4 + 62.4 = 0.0
0.0 + 2.3a = 0.15 + 62.4
2.3a = 0.15 + 62.4

Combine like terms: 0.15 + 62.4 = 62.55
2.3a = 62.55

Divide each side by '2.3'.
a = 27.19565217

Simplifying
a = 27.19565217