(.05)(50)-(1)(x)=(.08)(50-x)

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Solution for (.05)(50)-(1)(x)=(.08)(50-x) equation:


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

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

Multiply -1 * 1
2.5 + -1x = (0.08)(50 + -1x)
2.5 + -1x = (50 * 0.08 + -1x * 0.08)
2.5 + -1x = (4 + -0.08x)

Solving
2.5 + -1x = 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 + -1x + 0.08x = 4 + -0.08x + 0.08x

Combine like terms: -1x + 0.08x = -0.92x
2.5 + -0.92x = 4 + -0.08x + 0.08x

Combine like terms: -0.08x + 0.08x = 0.00
2.5 + -0.92x = 4 + 0.00
2.5 + -0.92x = 4

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -0.92x = 4 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.92x = 4 + -2.5
-0.92x = 4 + -2.5

Combine like terms: 4 + -2.5 = 1.5
-0.92x = 1.5

Divide each side by '-0.92'.
x = -1.630434783

Simplifying
x = -1.630434783

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