3(x+0.1)-4(x-0.5)=5.4

Solution for 3(x+0.1)-4(x-0.5)=5.4 equation:

Simplifying
3(x + 0.1) + -4(x + -0.5) = 5.4

Reorder the terms:
3(0.1 + x) + -4(x + -0.5) = 5.4
(0.1 * 3 + x * 3) + -4(x + -0.5) = 5.4
(0.3 + 3x) + -4(x + -0.5) = 5.4

Reorder the terms:
0.3 + 3x + -4(-0.5 + x) = 5.4
0.3 + 3x + (-0.5 * -4 + x * -4) = 5.4
0.3 + 3x + (2 + -4x) = 5.4

Reorder the terms:
0.3 + 2 + 3x + -4x = 5.4

Combine like terms: 0.3 + 2 = 2.3
2.3 + 3x + -4x = 5.4

Combine like terms: 3x + -4x = -1x
2.3 + -1x = 5.4

Solving
2.3 + -1x = 5.4

Solving for variable 'x'.

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

Add '-2.3' to each side of the equation.
2.3 + -2.3 + -1x = 5.4 + -2.3

Combine like terms: 2.3 + -2.3 = 0.0
0.0 + -1x = 5.4 + -2.3
-1x = 5.4 + -2.3

Combine like terms: 5.4 + -2.3 = 3.1
-1x = 3.1

Divide each side by '-1'.
x = -3.1

Simplifying
x = -3.1