5.25a-2(3a+1.25)=a+1

Solution for 5.25a-2(3a+1.25)=a+1 equation:

Simplifying
5.25a + -2(3a + 1.25) = a + 1

Reorder the terms:
5.25a + -2(1.25 + 3a) = a + 1
5.25a + (1.25 * -2 + 3a * -2) = a + 1
5.25a + (-2.5 + -6a) = a + 1

Reorder the terms:
-2.5 + 5.25a + -6a = a + 1

Combine like terms: 5.25a + -6a = -0.75a
-2.5 + -0.75a = a + 1

Reorder the terms:
-2.5 + -0.75a = 1 + a

Solving
-2.5 + -0.75a = 1 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-2.5 + -0.75a + -1a = 1 + a + -1a

Combine like terms: -0.75a + -1a = -1.75a
-2.5 + -1.75a = 1 + a + -1a

Combine like terms: a + -1a = 0
-2.5 + -1.75a = 1 + 0
-2.5 + -1.75a = 1

Add '2.5' to each side of the equation.
-2.5 + 2.5 + -1.75a = 1 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -1.75a = 1 + 2.5
-1.75a = 1 + 2.5

Combine like terms: 1 + 2.5 = 3.5
-1.75a = 3.5

Divide each side by '-1.75'.
a = -2

Simplifying
a = -2