3.3(3-x)+9=2(x-4)+6

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Solution for 3.3(3-x)+9=2(x-4)+6 equation:


Simplifying
3.3(3 + -1x) + 9 = 2(x + -4) + 6
(3 * 3.3 + -1x * 3.3) + 9 = 2(x + -4) + 6
(9.9 + -3.3x) + 9 = 2(x + -4) + 6

Reorder the terms:
9.9 + 9 + -3.3x = 2(x + -4) + 6

Combine like terms: 9.9 + 9 = 18.9
18.9 + -3.3x = 2(x + -4) + 6

Reorder the terms:
18.9 + -3.3x = 2(-4 + x) + 6
18.9 + -3.3x = (-4 * 2 + x * 2) + 6
18.9 + -3.3x = (-8 + 2x) + 6

Reorder the terms:
18.9 + -3.3x = -8 + 6 + 2x

Combine like terms: -8 + 6 = -2
18.9 + -3.3x = -2 + 2x

Solving
18.9 + -3.3x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18.9 + -3.3x + -2x = -2 + 2x + -2x

Combine like terms: -3.3x + -2x = -5.3x
18.9 + -5.3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
18.9 + -5.3x = -2 + 0
18.9 + -5.3x = -2

Add '-18.9' to each side of the equation.
18.9 + -18.9 + -5.3x = -2 + -18.9

Combine like terms: 18.9 + -18.9 = 0.0
0.0 + -5.3x = -2 + -18.9
-5.3x = -2 + -18.9

Combine like terms: -2 + -18.9 = -20.9
-5.3x = -20.9

Divide each side by '-5.3'.
x = 3.943396226

Simplifying
x = 3.943396226

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