.04x+10(.01)=(10+x)(.02)

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Solution for .04x+10(.01)=(10+x)(.02) equation:


Simplifying
0.04x + 10(0.01) = (10 + x)(0.02)

Multiply 10 * 0.01
0.04x + 0.1 = (10 + x)(0.02)

Reorder the terms:
0.1 + 0.04x = (10 + x)(0.02)

Reorder the terms for easier multiplication:
0.1 + 0.04x = 0.02(10 + x)
0.1 + 0.04x = (10 * 0.02 + x * 0.02)
0.1 + 0.04x = (0.2 + 0.02x)

Solving
0.1 + 0.04x = 0.2 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
0.1 + 0.04x + -0.02x = 0.2 + 0.02x + -0.02x

Combine like terms: 0.04x + -0.02x = 0.02x
0.1 + 0.02x = 0.2 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
0.1 + 0.02x = 0.2 + 0.00
0.1 + 0.02x = 0.2

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.02x = 0.2 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.02x = 0.2 + -0.1
0.02x = 0.2 + -0.1

Combine like terms: 0.2 + -0.1 = 0.1
0.02x = 0.1

Divide each side by '0.02'.
x = 5

Simplifying
x = 5

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