0.33(9x+6)=0.40(20x+15)

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Solution for 0.33(9x+6)=0.40(20x+15) equation:


Simplifying
0.33(9x + 6) = 0.40(20x + 15)

Reorder the terms:
0.33(6 + 9x) = 0.40(20x + 15)
(6 * 0.33 + 9x * 0.33) = 0.40(20x + 15)
(1.98 + 2.97x) = 0.40(20x + 15)

Reorder the terms:
1.98 + 2.97x = 0.40(15 + 20x)
1.98 + 2.97x = (15 * 0.40 + 20x * 0.40)
1.98 + 2.97x = (6 + 8x)

Solving
1.98 + 2.97x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
1.98 + 2.97x + -8x = 6 + 8x + -8x

Combine like terms: 2.97x + -8x = -5.03x
1.98 + -5.03x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
1.98 + -5.03x = 6 + 0
1.98 + -5.03x = 6

Add '-1.98' to each side of the equation.
1.98 + -1.98 + -5.03x = 6 + -1.98

Combine like terms: 1.98 + -1.98 = 0.00
0.00 + -5.03x = 6 + -1.98
-5.03x = 6 + -1.98

Combine like terms: 6 + -1.98 = 4.02
-5.03x = 4.02

Divide each side by '-5.03'.
x = -0.7992047714

Simplifying
x = -0.7992047714

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