1.6(2x-1)=2(0.4x+0.7)

Solution for 1.6(2x-1)=2(0.4x+0.7) equation:

Simplifying
1.6(2x + -1) = 2(0.4x + 0.7)

Reorder the terms:
1.6(-1 + 2x) = 2(0.4x + 0.7)
(-1 * 1.6 + 2x * 1.6) = 2(0.4x + 0.7)
(-1.6 + 3.2x) = 2(0.4x + 0.7)

Reorder the terms:
-1.6 + 3.2x = 2(0.7 + 0.4x)
-1.6 + 3.2x = (0.7 * 2 + 0.4x * 2)
-1.6 + 3.2x = (1.4 + 0.8x)

Solving
-1.6 + 3.2x = 1.4 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
-1.6 + 3.2x + -0.8x = 1.4 + 0.8x + -0.8x

Combine like terms: 3.2x + -0.8x = 2.4x
-1.6 + 2.4x = 1.4 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-1.6 + 2.4x = 1.4 + 0.0
-1.6 + 2.4x = 1.4

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 2.4x = 1.4 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 2.4x = 1.4 + 1.6
2.4x = 1.4 + 1.6

Combine like terms: 1.4 + 1.6 = 3
2.4x = 3

Divide each side by '2.4'.
x = 1.25

Simplifying
x = 1.25