.33(6x+3)=2x-5

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Solution for .33(6x+3)=2x-5 equation:


Simplifying
0.33(6x + 3) = 2x + -5

Reorder the terms:
0.33(3 + 6x) = 2x + -5
(3 * 0.33 + 6x * 0.33) = 2x + -5
(0.99 + 1.98x) = 2x + -5

Reorder the terms:
0.99 + 1.98x = -5 + 2x

Solving
0.99 + 1.98x = -5 + 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.
0.99 + 1.98x + -2x = -5 + 2x + -2x

Combine like terms: 1.98x + -2x = -0.02x
0.99 + -0.02x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.99 + -0.02x = -5 + 0
0.99 + -0.02x = -5

Add '-0.99' to each side of the equation.
0.99 + -0.99 + -0.02x = -5 + -0.99

Combine like terms: 0.99 + -0.99 = 0.00
0.00 + -0.02x = -5 + -0.99
-0.02x = -5 + -0.99

Combine like terms: -5 + -0.99 = -5.99
-0.02x = -5.99

Divide each side by '-0.02'.
x = 299.5

Simplifying
x = 299.5

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