1.25(x-4)=0.15(x+1)

Solution for 1.25(x-4)=0.15(x+1) equation:

Simplifying
1.25(x + -4) = 0.15(x + 1)

Reorder the terms:
1.25(-4 + x) = 0.15(x + 1)
(-4 * 1.25 + x * 1.25) = 0.15(x + 1)
(-5 + 1.25x) = 0.15(x + 1)

Reorder the terms:
-5 + 1.25x = 0.15(1 + x)
-5 + 1.25x = (1 * 0.15 + x * 0.15)
-5 + 1.25x = (0.15 + 0.15x)

Solving
-5 + 1.25x = 0.15 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
-5 + 1.25x + -0.15x = 0.15 + 0.15x + -0.15x

Combine like terms: 1.25x + -0.15x = 1.1x
-5 + 1.1x = 0.15 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
-5 + 1.1x = 0.15 + 0.00
-5 + 1.1x = 0.15

Add '5' to each side of the equation.
-5 + 5 + 1.1x = 0.15 + 5

Combine like terms: -5 + 5 = 0
0 + 1.1x = 0.15 + 5
1.1x = 0.15 + 5

Combine like terms: 0.15 + 5 = 5.15
1.1x = 5.15

Divide each side by '1.1'.
x = 4.681818182

Simplifying
x = 4.681818182