0.3(2-4.9x)-3(0.02x-3)=0.25(3-0.2x)

Solution for 0.3(2-4.9x)-3(0.02x-3)=0.25(3-0.2x) equation:

Simplifying
0.3(2 + -4.9x) + -3(0.02x + -3) = 0.25(3 + -0.2x)
(2 * 0.3 + -4.9x * 0.3) + -3(0.02x + -3) = 0.25(3 + -0.2x)
(0.6 + -1.47x) + -3(0.02x + -3) = 0.25(3 + -0.2x)

Reorder the terms:
0.6 + -1.47x + -3(-3 + 0.02x) = 0.25(3 + -0.2x)
0.6 + -1.47x + (-3 * -3 + 0.02x * -3) = 0.25(3 + -0.2x)
0.6 + -1.47x + (9 + -0.06x) = 0.25(3 + -0.2x)

Reorder the terms:
0.6 + 9 + -1.47x + -0.06x = 0.25(3 + -0.2x)

Combine like terms: 0.6 + 9 = 9.6
9.6 + -1.47x + -0.06x = 0.25(3 + -0.2x)

Combine like terms: -1.47x + -0.06x = -1.53x
9.6 + -1.53x = 0.25(3 + -0.2x)
9.6 + -1.53x = (3 * 0.25 + -0.2x * 0.25)
9.6 + -1.53x = (0.75 + -0.05x)

Solving
9.6 + -1.53x = 0.75 + -0.05x

Solving for variable 'x'.

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

Add '0.05x' to each side of the equation.
9.6 + -1.53x + 0.05x = 0.75 + -0.05x + 0.05x

Combine like terms: -1.53x + 0.05x = -1.48x
9.6 + -1.48x = 0.75 + -0.05x + 0.05x

Combine like terms: -0.05x + 0.05x = 0.00
9.6 + -1.48x = 0.75 + 0.00
9.6 + -1.48x = 0.75

Add '-9.6' to each side of the equation.
9.6 + -9.6 + -1.48x = 0.75 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + -1.48x = 0.75 + -9.6
-1.48x = 0.75 + -9.6

Combine like terms: 0.75 + -9.6 = -8.85
-1.48x = -8.85

Divide each side by '-1.48'.
x = 5.97972973

Simplifying
x = 5.97972973