.33(x+6)=0.25x+8

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Solution for .33(x+6)=0.25x+8 equation: 


Simplifying
0.33(x + 6) = 0.25x + 8

Reorder the terms:
0.33(6 + x) = 0.25x + 8
(6 * 0.33 + x * 0.33) = 0.25x + 8
(1.98 + 0.33x) = 0.25x + 8

Reorder the terms:
1.98 + 0.33x = 8 + 0.25x

Solving
1.98 + 0.33x = 8 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
1.98 + 0.33x + -0.25x = 8 + 0.25x + -0.25x

Combine like terms: 0.33x + -0.25x = 0.08x
1.98 + 0.08x = 8 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
1.98 + 0.08x = 8 + 0.00
1.98 + 0.08x = 8

Add '-1.98' to each side of the equation.
1.98 + -1.98 + 0.08x = 8 + -1.98

Combine like terms: 1.98 + -1.98 = 0.00
0.00 + 0.08x = 8 + -1.98
0.08x = 8 + -1.98

Combine like terms: 8 + -1.98 = 6.02
0.08x = 6.02

Divide each side by '0.08'.
x = 75.25

Simplifying
x = 75.25

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