0.9(2x+8)=4.3-(x-3)

Solution for 0.9(2x+8)=4.3-(x-3) equation:

Simplifying
0.9(2x + 8) = 4.3 + -1(x + -3)

Reorder the terms:
0.9(8 + 2x) = 4.3 + -1(x + -3)
(8 * 0.9 + 2x * 0.9) = 4.3 + -1(x + -3)
(7.2 + 1.8x) = 4.3 + -1(x + -3)

Reorder the terms:
7.2 + 1.8x = 4.3 + -1(-3 + x)
7.2 + 1.8x = 4.3 + (-3 * -1 + x * -1)
7.2 + 1.8x = 4.3 + (3 + -1x)

Combine like terms: 4.3 + 3 = 7.3
7.2 + 1.8x = 7.3 + -1x

Solving
7.2 + 1.8x = 7.3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7.2 + 1.8x + x = 7.3 + -1x + x

Combine like terms: 1.8x + x = 2.8x
7.2 + 2.8x = 7.3 + -1x + x

Combine like terms: -1x + x = 0
7.2 + 2.8x = 7.3 + 0
7.2 + 2.8x = 7.3

Add '-7.2' to each side of the equation.
7.2 + -7.2 + 2.8x = 7.3 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + 2.8x = 7.3 + -7.2
2.8x = 7.3 + -7.2

Combine like terms: 7.3 + -7.2 = 0.1
2.8x = 0.1

Divide each side by '2.8'.
x = 0.03571428571

Simplifying
x = 0.03571428571