.02(50)+.08x=.04(50+x)

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Solution for .02(50)+.08x=.04(50+x) equation: 


Simplifying
0.02(50) + 0.08x = 0.04(50 + x)

Multiply 0.02 * 50
1 + 0.08x = 0.04(50 + x)
1 + 0.08x = (50 * 0.04 + x * 0.04)
1 + 0.08x = (2 + 0.04x)

Solving
1 + 0.08x = 2 + 0.04x

Solving for variable 'x'.

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

Add '-0.04x' to each side of the equation.
1 + 0.08x + -0.04x = 2 + 0.04x + -0.04x

Combine like terms: 0.08x + -0.04x = 0.04x
1 + 0.04x = 2 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
1 + 0.04x = 2 + 0.00
1 + 0.04x = 2

Add '-1' to each side of the equation.
1 + -1 + 0.04x = 2 + -1

Combine like terms: 1 + -1 = 0
0 + 0.04x = 2 + -1
0.04x = 2 + -1

Combine like terms: 2 + -1 = 1
0.04x = 1

Divide each side by '0.04'.
x = 25

Simplifying
x = 25

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