(.2)(25)+(.4)(x)=(.35)(25+x)

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Solution for (.2)(25)+(.4)(x)=(.35)(25+x) equation:


Simplifying
(0.2)(25) + (0.4)(x) = (0.35)(25 + x)

Multiply 0.2 * 25
5 + (0.4)(x) = (0.35)(25 + x)
5 + 0.4x = (25 * 0.35 + x * 0.35)
5 + 0.4x = (8.75 + 0.35x)

Solving
5 + 0.4x = 8.75 + 0.35x

Solving for variable 'x'.

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

Add '-0.35x' to each side of the equation.
5 + 0.4x + -0.35x = 8.75 + 0.35x + -0.35x

Combine like terms: 0.4x + -0.35x = 0.05x
5 + 0.05x = 8.75 + 0.35x + -0.35x

Combine like terms: 0.35x + -0.35x = 0.00
5 + 0.05x = 8.75 + 0.00
5 + 0.05x = 8.75

Add '-5' to each side of the equation.
5 + -5 + 0.05x = 8.75 + -5

Combine like terms: 5 + -5 = 0
0 + 0.05x = 8.75 + -5
0.05x = 8.75 + -5

Combine like terms: 8.75 + -5 = 3.75
0.05x = 3.75

Divide each side by '0.05'.
x = 75

Simplifying
x = 75

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