0.75x+0.2(x+3)=0.15x-0.4

Solution for 0.75x+0.2(x+3)=0.15x-0.4 equation:

Simplifying
0.75x + 0.2(x + 3) = 0.15x + -0.4

Reorder the terms:
0.75x + 0.2(3 + x) = 0.15x + -0.4
0.75x + (3 * 0.2 + x * 0.2) = 0.15x + -0.4
0.75x + (0.6 + 0.2x) = 0.15x + -0.4

Reorder the terms:
0.6 + 0.75x + 0.2x = 0.15x + -0.4

Combine like terms: 0.75x + 0.2x = 0.95x
0.6 + 0.95x = 0.15x + -0.4

Reorder the terms:
0.6 + 0.95x = -0.4 + 0.15x

Solving
0.6 + 0.95x = -0.4 + 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.
0.6 + 0.95x + -0.15x = -0.4 + 0.15x + -0.15x

Combine like terms: 0.95x + -0.15x = 0.8x
0.6 + 0.8x = -0.4 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
0.6 + 0.8x = -0.4 + 0.00
0.6 + 0.8x = -0.4

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.8x = -0.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.8x = -0.4 + -0.6
0.8x = -0.4 + -0.6

Combine like terms: -0.4 + -0.6 = -1
0.8x = -1

Divide each side by '0.8'.
x = -1.25

Simplifying
x = -1.25