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

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


Simplifying
0.33(5x + 6) + -0.5(x + 5) = 3

Reorder the terms:
0.33(6 + 5x) + -0.5(x + 5) = 3
(6 * 0.33 + 5x * 0.33) + -0.5(x + 5) = 3
(1.98 + 1.65x) + -0.5(x + 5) = 3

Reorder the terms:
1.98 + 1.65x + -0.5(5 + x) = 3
1.98 + 1.65x + (5 * -0.5 + x * -0.5) = 3
1.98 + 1.65x + (-2.5 + -0.5x) = 3

Reorder the terms:
1.98 + -2.5 + 1.65x + -0.5x = 3

Combine like terms: 1.98 + -2.5 = -0.52
-0.52 + 1.65x + -0.5x = 3

Combine like terms: 1.65x + -0.5x = 1.15x
-0.52 + 1.15x = 3

Solving
-0.52 + 1.15x = 3

Solving for variable 'x'.

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

Add '0.52' to each side of the equation.
-0.52 + 0.52 + 1.15x = 3 + 0.52

Combine like terms: -0.52 + 0.52 = 0.00
0.00 + 1.15x = 3 + 0.52
1.15x = 3 + 0.52

Combine like terms: 3 + 0.52 = 3.52
1.15x = 3.52

Divide each side by '1.15'.
x = 3.060869565

Simplifying
x = 3.060869565

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