0.75(8+4x)-0.3(6x+3)=9

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Solution for 0.75(8+4x)-0.3(6x+3)=9 equation:


Simplifying
0.75(8 + 4x) + -0.3(6x + 3) = 9
(8 * 0.75 + 4x * 0.75) + -0.3(6x + 3) = 9
(6 + 3x) + -0.3(6x + 3) = 9

Reorder the terms:
6 + 3x + -0.3(3 + 6x) = 9
6 + 3x + (3 * -0.3 + 6x * -0.3) = 9
6 + 3x + (-0.9 + -1.8x) = 9

Reorder the terms:
6 + -0.9 + 3x + -1.8x = 9

Combine like terms: 6 + -0.9 = 5.1
5.1 + 3x + -1.8x = 9

Combine like terms: 3x + -1.8x = 1.2x
5.1 + 1.2x = 9

Solving
5.1 + 1.2x = 9

Solving for variable 'x'.

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

Add '-5.1' to each side of the equation.
5.1 + -5.1 + 1.2x = 9 + -5.1

Combine like terms: 5.1 + -5.1 = 0.0
0.0 + 1.2x = 9 + -5.1
1.2x = 9 + -5.1

Combine like terms: 9 + -5.1 = 3.9
1.2x = 3.9

Divide each side by '1.2'.
x = 3.25

Simplifying
x = 3.25

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