.7a+2=.3(4a+1)

Solution for .7a+2=.3(4a+1) equation:

Simplifying
0.7a + 2 = 0.3(4a + 1)

Reorder the terms:
2 + 0.7a = 0.3(4a + 1)

Reorder the terms:
2 + 0.7a = 0.3(1 + 4a)
2 + 0.7a = (1 * 0.3 + 4a * 0.3)
2 + 0.7a = (0.3 + 1.2a)

Solving
2 + 0.7a = 0.3 + 1.2a

Solving for variable 'a'.

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

Add '-1.2a' to each side of the equation.
2 + 0.7a + -1.2a = 0.3 + 1.2a + -1.2a

Combine like terms: 0.7a + -1.2a = -0.5a
2 + -0.5a = 0.3 + 1.2a + -1.2a

Combine like terms: 1.2a + -1.2a = 0.0
2 + -0.5a = 0.3 + 0.0
2 + -0.5a = 0.3

Add '-2' to each side of the equation.
2 + -2 + -0.5a = 0.3 + -2

Combine like terms: 2 + -2 = 0
0 + -0.5a = 0.3 + -2
-0.5a = 0.3 + -2

Combine like terms: 0.3 + -2 = -1.7
-0.5a = -1.7

Divide each side by '-0.5'.
a = 3.4

Simplifying
a = 3.4