0.33(x+8)=0.75(x+5)+0.13

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Solution for 0.33(x+8)=0.75(x+5)+0.13 equation: 


Simplifying
0.33(x + 8) = 0.75(x + 5) + 0.13

Reorder the terms:
0.33(8 + x) = 0.75(x + 5) + 0.13
(8 * 0.33 + x * 0.33) = 0.75(x + 5) + 0.13
(2.64 + 0.33x) = 0.75(x + 5) + 0.13

Reorder the terms:
2.64 + 0.33x = 0.75(5 + x) + 0.13
2.64 + 0.33x = (5 * 0.75 + x * 0.75) + 0.13
2.64 + 0.33x = (3.75 + 0.75x) + 0.13

Reorder the terms:
2.64 + 0.33x = 3.75 + 0.13 + 0.75x

Combine like terms: 3.75 + 0.13 = 3.88
2.64 + 0.33x = 3.88 + 0.75x

Solving
2.64 + 0.33x = 3.88 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
2.64 + 0.33x + -0.75x = 3.88 + 0.75x + -0.75x

Combine like terms: 0.33x + -0.75x = -0.42x
2.64 + -0.42x = 3.88 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
2.64 + -0.42x = 3.88 + 0.00
2.64 + -0.42x = 3.88

Add '-2.64' to each side of the equation.
2.64 + -2.64 + -0.42x = 3.88 + -2.64

Combine like terms: 2.64 + -2.64 = 0.00
0.00 + -0.42x = 3.88 + -2.64
-0.42x = 3.88 + -2.64

Combine like terms: 3.88 + -2.64 = 1.24
-0.42x = 1.24

Divide each side by '-0.42'.
x = -2.952380952

Simplifying
x = -2.952380952

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