3.2(x+4)+2*2+1.7(x-3)=27

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Solution for 3.2(x+4)+2*2+1.7(x-3)=27 equation:


Simplifying
3.2(x + 4) + 2 * 2 + 1.7(x + -3) = 27

Reorder the terms:
3.2(4 + x) + 2 * 2 + 1.7(x + -3) = 27
(4 * 3.2 + x * 3.2) + 2 * 2 + 1.7(x + -3) = 27
(12.8 + 3.2x) + 2 * 2 + 1.7(x + -3) = 27

Multiply 2 * 2
12.8 + 3.2x + 4 + 1.7(x + -3) = 27

Reorder the terms:
12.8 + 3.2x + 4 + 1.7(-3 + x) = 27
12.8 + 3.2x + 4 + (-3 * 1.7 + x * 1.7) = 27
12.8 + 3.2x + 4 + (-5.1 + 1.7x) = 27

Reorder the terms:
12.8 + 4 + -5.1 + 3.2x + 1.7x = 27

Combine like terms: 12.8 + 4 = 16.8
16.8 + -5.1 + 3.2x + 1.7x = 27

Combine like terms: 16.8 + -5.1 = 11.7
11.7 + 3.2x + 1.7x = 27

Combine like terms: 3.2x + 1.7x = 4.9x
11.7 + 4.9x = 27

Solving
11.7 + 4.9x = 27

Solving for variable 'x'.

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

Add '-11.7' to each side of the equation.
11.7 + -11.7 + 4.9x = 27 + -11.7

Combine like terms: 11.7 + -11.7 = 0.0
0.0 + 4.9x = 27 + -11.7
4.9x = 27 + -11.7

Combine like terms: 27 + -11.7 = 15.3
4.9x = 15.3

Divide each side by '4.9'.
x = 3.12244898

Simplifying
x = 3.12244898

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