0.8(3x+9)=4.3-(x-3)

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Solution for 0.8(3x+9)=4.3-(x-3) equation: 


Simplifying
0.8(3x + 9) = 4.3 + -1(x + -3)

Reorder the terms:
0.8(9 + 3x) = 4.3 + -1(x + -3)
(9 * 0.8 + 3x * 0.8) = 4.3 + -1(x + -3)
(7.2 + 2.4x) = 4.3 + -1(x + -3)

Reorder the terms:
7.2 + 2.4x = 4.3 + -1(-3 + x)
7.2 + 2.4x = 4.3 + (-3 * -1 + x * -1)
7.2 + 2.4x = 4.3 + (3 + -1x)

Combine like terms: 4.3 + 3 = 7.3
7.2 + 2.4x = 7.3 + -1x

Solving
7.2 + 2.4x = 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 + 2.4x + x = 7.3 + -1x + x

Combine like terms: 2.4x + x = 3.4x
7.2 + 3.4x = 7.3 + -1x + x

Combine like terms: -1x + x = 0
7.2 + 3.4x = 7.3 + 0
7.2 + 3.4x = 7.3

Add '-7.2' to each side of the equation.
7.2 + -7.2 + 3.4x = 7.3 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + 3.4x = 7.3 + -7.2
3.4x = 7.3 + -7.2

Combine like terms: 7.3 + -7.2 = 0.1
3.4x = 0.1

Divide each side by '3.4'.
x = 0.02941176471

Simplifying
x = 0.02941176471

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