0.15(x-2)-0.4(x+1)=0.1(25)

Solution for 0.15(x-2)-0.4(x+1)=0.1(25) equation:

Simplifying
0.15(x + -2) + -0.4(x + 1) = 0.1(25)

Reorder the terms:
0.15(-2 + x) + -0.4(x + 1) = 0.1(25)
(-2 * 0.15 + x * 0.15) + -0.4(x + 1) = 0.1(25)
(-0.3 + 0.15x) + -0.4(x + 1) = 0.1(25)

Reorder the terms:
-0.3 + 0.15x + -0.4(1 + x) = 0.1(25)
-0.3 + 0.15x + (1 * -0.4 + x * -0.4) = 0.1(25)
-0.3 + 0.15x + (-0.4 + -0.4x) = 0.1(25)

Reorder the terms:
-0.3 + -0.4 + 0.15x + -0.4x = 0.1(25)

Combine like terms: -0.3 + -0.4 = -0.7
-0.7 + 0.15x + -0.4x = 0.1(25)

Combine like terms: 0.15x + -0.4x = -0.25x
-0.7 + -0.25x = 0.1(25)

Multiply 0.1 * 25
-0.7 + -0.25x = 2.5

Solving
-0.7 + -0.25x = 2.5

Solving for variable 'x'.

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

Add '0.7' to each side of the equation.
-0.7 + 0.7 + -0.25x = 2.5 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + -0.25x = 2.5 + 0.7
-0.25x = 2.5 + 0.7

Combine like terms: 2.5 + 0.7 = 3.2
-0.25x = 3.2

Divide each side by '-0.25'.
x = -12.8

Simplifying
x = -12.8