0.33(x+3)+0.16(x-6)=x+3

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Solution for 0.33(x+3)+0.16(x-6)=x+3 equation:


Simplifying
0.33(x + 3) + 0.16(x + -6) = x + 3

Reorder the terms:
0.33(3 + x) + 0.16(x + -6) = x + 3
(3 * 0.33 + x * 0.33) + 0.16(x + -6) = x + 3
(0.99 + 0.33x) + 0.16(x + -6) = x + 3

Reorder the terms:
0.99 + 0.33x + 0.16(-6 + x) = x + 3
0.99 + 0.33x + (-6 * 0.16 + x * 0.16) = x + 3
0.99 + 0.33x + (-0.96 + 0.16x) = x + 3

Reorder the terms:
0.99 + -0.96 + 0.33x + 0.16x = x + 3

Combine like terms: 0.99 + -0.96 = 0.03
0.03 + 0.33x + 0.16x = x + 3

Combine like terms: 0.33x + 0.16x = 0.49x
0.03 + 0.49x = x + 3

Reorder the terms:
0.03 + 0.49x = 3 + x

Solving
0.03 + 0.49x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0.03 + 0.49x + -1x = 3 + x + -1x

Combine like terms: 0.49x + -1x = -0.51x
0.03 + -0.51x = 3 + x + -1x

Combine like terms: x + -1x = 0
0.03 + -0.51x = 3 + 0
0.03 + -0.51x = 3

Add '-0.03' to each side of the equation.
0.03 + -0.03 + -0.51x = 3 + -0.03

Combine like terms: 0.03 + -0.03 = 0.00
0.00 + -0.51x = 3 + -0.03
-0.51x = 3 + -0.03

Combine like terms: 3 + -0.03 = 2.97
-0.51x = 2.97

Divide each side by '-0.51'.
x = -5.823529412

Simplifying
x = -5.823529412

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