.04(6)+.10(x)=.06(6+x)

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Solution for .04(6)+.10(x)=.06(6+x) equation:


Simplifying
0.04(6) + 0.10(x) = 0.06(6 + x)

Multiply 0.04 * 6
0.24 + 0.10(x) = 0.06(6 + x)
0.24 + 0.10x = (6 * 0.06 + x * 0.06)
0.24 + 0.10x = (0.36 + 0.06x)

Solving
0.24 + 0.10x = 0.36 + 0.06x

Solving for variable 'x'.

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

Add '-0.06x' to each side of the equation.
0.24 + 0.10x + -0.06x = 0.36 + 0.06x + -0.06x

Combine like terms: 0.10x + -0.06x = 0.04x
0.24 + 0.04x = 0.36 + 0.06x + -0.06x

Combine like terms: 0.06x + -0.06x = 0.00
0.24 + 0.04x = 0.36 + 0.00
0.24 + 0.04x = 0.36

Add '-0.24' to each side of the equation.
0.24 + -0.24 + 0.04x = 0.36 + -0.24

Combine like terms: 0.24 + -0.24 = 0.00
0.00 + 0.04x = 0.36 + -0.24
0.04x = 0.36 + -0.24

Combine like terms: 0.36 + -0.24 = 0.12
0.04x = 0.12

Divide each side by '0.04'.
x = 3

Simplifying
x = 3

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