0.9(-3x+5)+0.6(9x-7.5)=18(1.5-0.2)+3.6

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Solution for 0.9(-3x+5)+0.6(9x-7.5)=18(1.5-0.2)+3.6 equation: 


Simplifying
0.9(-3x + 5) + 0.6(9x + -7.5) = 18(1.5 + -0.2) + 3.6

Reorder the terms:
0.9(5 + -3x) + 0.6(9x + -7.5) = 18(1.5 + -0.2) + 3.6
(5 * 0.9 + -3x * 0.9) + 0.6(9x + -7.5) = 18(1.5 + -0.2) + 3.6
(4.5 + -2.7x) + 0.6(9x + -7.5) = 18(1.5 + -0.2) + 3.6

Reorder the terms:
4.5 + -2.7x + 0.6(-7.5 + 9x) = 18(1.5 + -0.2) + 3.6
4.5 + -2.7x + (-7.5 * 0.6 + 9x * 0.6) = 18(1.5 + -0.2) + 3.6
4.5 + -2.7x + (-4.5 + 5.4x) = 18(1.5 + -0.2) + 3.6

Reorder the terms:
4.5 + -4.5 + -2.7x + 5.4x = 18(1.5 + -0.2) + 3.6

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -2.7x + 5.4x = 18(1.5 + -0.2) + 3.6
-2.7x + 5.4x = 18(1.5 + -0.2) + 3.6

Combine like terms: -2.7x + 5.4x = 2.7x
2.7x = 18(1.5 + -0.2) + 3.6

Combine like terms: 1.5 + -0.2 = 1.3
2.7x = 18(1.3) + 3.6

Multiply 18 * 1.3
2.7x = 23.4 + 3.6

Combine like terms: 23.4 + 3.6 = 27
2.7x = 27

Solving
2.7x = 27

Solving for variable 'x'.

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

Divide each side by '2.7'.
x = 10

Simplifying
x = 10

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