1.5(4-1x)=1.3(2-x)

Solution for 1.5(4-1x)=1.3(2-x) equation:

Simplifying
1.5(4 + -1x) = 1.3(2 + -1x)
(4 * 1.5 + -1x * 1.5) = 1.3(2 + -1x)
(6 + -1.5x) = 1.3(2 + -1x)
6 + -1.5x = (2 * 1.3 + -1x * 1.3)
6 + -1.5x = (2.6 + -1.3x)

Solving
6 + -1.5x = 2.6 + -1.3x

Solving for variable 'x'.

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

Add '1.3x' to each side of the equation.
6 + -1.5x + 1.3x = 2.6 + -1.3x + 1.3x

Combine like terms: -1.5x + 1.3x = -0.2x
6 + -0.2x = 2.6 + -1.3x + 1.3x

Combine like terms: -1.3x + 1.3x = 0.0
6 + -0.2x = 2.6 + 0.0
6 + -0.2x = 2.6

Add '-6' to each side of the equation.
6 + -6 + -0.2x = 2.6 + -6

Combine like terms: 6 + -6 = 0
0 + -0.2x = 2.6 + -6
-0.2x = 2.6 + -6

Combine like terms: 2.6 + -6 = -3.4
-0.2x = -3.4

Divide each side by '-0.2'.
x = 17

Simplifying
x = 17