0.27(25+x)=0.3(x)+0.2(25)

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Solution for 0.27(25+x)=0.3(x)+0.2(25) equation:


Simplifying
0.27(25 + x) = 0.3(x) + 0.2(25)
(25 * 0.27 + x * 0.27) = 0.3(x) + 0.2(25)
(6.75 + 0.27x) = 0.3(x) + 0.2(25)

Multiply 0.2 * 25
6.75 + 0.27x = 0.3x + 5

Reorder the terms:
6.75 + 0.27x = 5 + 0.3x

Solving
6.75 + 0.27x = 5 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
6.75 + 0.27x + -0.3x = 5 + 0.3x + -0.3x

Combine like terms: 0.27x + -0.3x = -0.03x
6.75 + -0.03x = 5 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
6.75 + -0.03x = 5 + 0.0
6.75 + -0.03x = 5

Add '-6.75' to each side of the equation.
6.75 + -6.75 + -0.03x = 5 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + -0.03x = 5 + -6.75
-0.03x = 5 + -6.75

Combine like terms: 5 + -6.75 = -1.75
-0.03x = -1.75

Divide each side by '-0.03'.
x = 58.33333333

Simplifying
x = 58.33333333

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