0.3(x-2)+1=0.25(x+9)

Solution for 0.3(x-2)+1=0.25(x+9) equation:

Simplifying
0.3(x + -2) + 1 = 0.25(x + 9)

Reorder the terms:
0.3(-2 + x) + 1 = 0.25(x + 9)
(-2 * 0.3 + x * 0.3) + 1 = 0.25(x + 9)
(-0.6 + 0.3x) + 1 = 0.25(x + 9)

Reorder the terms:
-0.6 + 1 + 0.3x = 0.25(x + 9)

Combine like terms: -0.6 + 1 = 0.4
0.4 + 0.3x = 0.25(x + 9)

Reorder the terms:
0.4 + 0.3x = 0.25(9 + x)
0.4 + 0.3x = (9 * 0.25 + x * 0.25)
0.4 + 0.3x = (2.25 + 0.25x)

Solving
0.4 + 0.3x = 2.25 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
0.4 + 0.3x + -0.25x = 2.25 + 0.25x + -0.25x

Combine like terms: 0.3x + -0.25x = 0.05x
0.4 + 0.05x = 2.25 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
0.4 + 0.05x = 2.25 + 0.00
0.4 + 0.05x = 2.25

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.05x = 2.25 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.05x = 2.25 + -0.4
0.05x = 2.25 + -0.4

Combine like terms: 2.25 + -0.4 = 1.85
0.05x = 1.85

Divide each side by '0.05'.
x = 37

Simplifying
x = 37