0.2-(1.76x-3.4)=1.3(2-5.2x)

Solution for 0.2-(1.76x-3.4)=1.3(2-5.2x) equation:

Simplifying
0.2 + -1(1.76x + -3.4) = 1.3(2 + -5.2x)

Reorder the terms:
0.2 + -1(-3.4 + 1.76x) = 1.3(2 + -5.2x)
0.2 + (-3.4 * -1 + 1.76x * -1) = 1.3(2 + -5.2x)
0.2 + (3.4 + -1.76x) = 1.3(2 + -5.2x)

Combine like terms: 0.2 + 3.4 = 3.6
3.6 + -1.76x = 1.3(2 + -5.2x)
3.6 + -1.76x = (2 * 1.3 + -5.2x * 1.3)
3.6 + -1.76x = (2.6 + -6.76x)

Solving
3.6 + -1.76x = 2.6 + -6.76x

Solving for variable 'x'.

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

Add '6.76x' to each side of the equation.
3.6 + -1.76x + 6.76x = 2.6 + -6.76x + 6.76x

Combine like terms: -1.76x + 6.76x = 5x
3.6 + 5x = 2.6 + -6.76x + 6.76x

Combine like terms: -6.76x + 6.76x = 0.00
3.6 + 5x = 2.6 + 0.00
3.6 + 5x = 2.6

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 5x = 2.6 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 5x = 2.6 + -3.6
5x = 2.6 + -3.6

Combine like terms: 2.6 + -3.6 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2