.6(15x+20)-.16(18x-12)=38

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Solution for .6(15x+20)-.16(18x-12)=38 equation:


Simplifying
0.6(15x + 20) + -0.16(18x + -12) = 38

Reorder the terms:
0.6(20 + 15x) + -0.16(18x + -12) = 38
(20 * 0.6 + 15x * 0.6) + -0.16(18x + -12) = 38
(12 + 9x) + -0.16(18x + -12) = 38

Reorder the terms:
12 + 9x + -0.16(-12 + 18x) = 38
12 + 9x + (-12 * -0.16 + 18x * -0.16) = 38
12 + 9x + (1.92 + -2.88x) = 38

Reorder the terms:
12 + 1.92 + 9x + -2.88x = 38

Combine like terms: 12 + 1.92 = 13.92
13.92 + 9x + -2.88x = 38

Combine like terms: 9x + -2.88x = 6.12x
13.92 + 6.12x = 38

Solving
13.92 + 6.12x = 38

Solving for variable 'x'.

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

Add '-13.92' to each side of the equation.
13.92 + -13.92 + 6.12x = 38 + -13.92

Combine like terms: 13.92 + -13.92 = 0.00
0.00 + 6.12x = 38 + -13.92
6.12x = 38 + -13.92

Combine like terms: 38 + -13.92 = 24.08
6.12x = 24.08

Divide each side by '6.12'.
x = 3.934640523

Simplifying
x = 3.934640523

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