2.4x-7.33+3x-1.5(x-3)=9.6+0.05(2x-3)

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Solution for 2.4x-7.33+3x-1.5(x-3)=9.6+0.05(2x-3) equation: 


Simplifying
2.4x + -7.33 + 3x + -1.5(x + -3) = 9.6 + 0.05(2x + -3)

Reorder the terms:
2.4x + -7.33 + 3x + -1.5(-3 + x) = 9.6 + 0.05(2x + -3)
2.4x + -7.33 + 3x + (-3 * -1.5 + x * -1.5) = 9.6 + 0.05(2x + -3)
2.4x + -7.33 + 3x + (4.5 + -1.5x) = 9.6 + 0.05(2x + -3)

Reorder the terms:
-7.33 + 4.5 + 2.4x + 3x + -1.5x = 9.6 + 0.05(2x + -3)

Combine like terms: -7.33 + 4.5 = -2.83
-2.83 + 2.4x + 3x + -1.5x = 9.6 + 0.05(2x + -3)

Combine like terms: 2.4x + 3x = 5.4x
-2.83 + 5.4x + -1.5x = 9.6 + 0.05(2x + -3)

Combine like terms: 5.4x + -1.5x = 3.9x
-2.83 + 3.9x = 9.6 + 0.05(2x + -3)

Reorder the terms:
-2.83 + 3.9x = 9.6 + 0.05(-3 + 2x)
-2.83 + 3.9x = 9.6 + (-3 * 0.05 + 2x * 0.05)
-2.83 + 3.9x = 9.6 + (-0.15 + 0.1x)

Combine like terms: 9.6 + -0.15 = 9.45
-2.83 + 3.9x = 9.45 + 0.1x

Solving
-2.83 + 3.9x = 9.45 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
-2.83 + 3.9x + -0.1x = 9.45 + 0.1x + -0.1x

Combine like terms: 3.9x + -0.1x = 3.8x
-2.83 + 3.8x = 9.45 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-2.83 + 3.8x = 9.45 + 0.0
-2.83 + 3.8x = 9.45

Add '2.83' to each side of the equation.
-2.83 + 2.83 + 3.8x = 9.45 + 2.83

Combine like terms: -2.83 + 2.83 = 0.00
0.00 + 3.8x = 9.45 + 2.83
3.8x = 9.45 + 2.83

Combine like terms: 9.45 + 2.83 = 12.28
3.8x = 12.28

Divide each side by '3.8'.
x = 3.231578947

Simplifying
x = 3.231578947

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