.33(x+1)=.16(3x-5)

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Solution for .33(x+1)=.16(3x-5) equation: 


Simplifying
0.33(x + 1) = 0.16(3x + -5)

Reorder the terms:
0.33(1 + x) = 0.16(3x + -5)
(1 * 0.33 + x * 0.33) = 0.16(3x + -5)
(0.33 + 0.33x) = 0.16(3x + -5)

Reorder the terms:
0.33 + 0.33x = 0.16(-5 + 3x)
0.33 + 0.33x = (-5 * 0.16 + 3x * 0.16)
0.33 + 0.33x = (-0.8 + 0.48x)

Solving
0.33 + 0.33x = -0.8 + 0.48x

Solving for variable 'x'.

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

Add '-0.48x' to each side of the equation.
0.33 + 0.33x + -0.48x = -0.8 + 0.48x + -0.48x

Combine like terms: 0.33x + -0.48x = -0.15x
0.33 + -0.15x = -0.8 + 0.48x + -0.48x

Combine like terms: 0.48x + -0.48x = 0.00
0.33 + -0.15x = -0.8 + 0.00
0.33 + -0.15x = -0.8

Add '-0.33' to each side of the equation.
0.33 + -0.33 + -0.15x = -0.8 + -0.33

Combine like terms: 0.33 + -0.33 = 0.00
0.00 + -0.15x = -0.8 + -0.33
-0.15x = -0.8 + -0.33

Combine like terms: -0.8 + -0.33 = -1.13
-0.15x = -1.13

Divide each side by '-0.15'.
x = 7.533333333

Simplifying
x = 7.533333333

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