(.05)(50)-(0)(x)=(.08)(50-x)

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Solution for (.05)(50)-(0)(x)=(.08)(50-x) equation: 


Simplifying
(0.05)(50) + -1(0)(x) = (0.08)(50 + -1x)

Multiply 0.05 * 50
2.5 + -1(0)(x) = (0.08)(50 + -1x)

Multiply -1 * 0
2.5 + 0x = (0.08)(50 + -1x)

Anything times zero is zero.
2.5 + 0x = (0.08)(50 + -1x)

Combine like terms: 2.5 + 0 = 2.5
2.5 = (0.08)(50 + -1x)
2.5 = (50 * 0.08 + -1x * 0.08)
2.5 = (4 + -0.08x)

Solving
2.5 = 4 + -0.08x

Solving for variable 'x'.

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

Add '0.08x' to each side of the equation.
2.5 + 0.08x = 4 + -0.08x + 0.08x

Combine like terms: -0.08x + 0.08x = 0.00
2.5 + 0.08x = 4 + 0.00
2.5 + 0.08x = 4

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.08x = 4 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.08x = 4 + -2.5
0.08x = 4 + -2.5

Combine like terms: 4 + -2.5 = 1.5
0.08x = 1.5

Divide each side by '0.08'.
x = 18.75

Simplifying
x = 18.75

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