.30(6)+.05x=.10(6+x)

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Solution for .30(6)+.05x=.10(6+x) equation:


Simplifying
0.30(6) + 0.05x = 0.10(6 + x)

Multiply 0.30 * 6
1.8 + 0.05x = 0.10(6 + x)
1.8 + 0.05x = (6 * 0.10 + x * 0.10)
1.8 + 0.05x = (0.6 + 0.10x)

Solving
1.8 + 0.05x = 0.6 + 0.10x

Solving for variable 'x'.

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

Add '-0.10x' to each side of the equation.
1.8 + 0.05x + -0.10x = 0.6 + 0.10x + -0.10x

Combine like terms: 0.05x + -0.10x = -0.05x
1.8 + -0.05x = 0.6 + 0.10x + -0.10x

Combine like terms: 0.10x + -0.10x = 0.00
1.8 + -0.05x = 0.6 + 0.00
1.8 + -0.05x = 0.6

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.05x = 0.6 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.05x = 0.6 + -1.8
-0.05x = 0.6 + -1.8

Combine like terms: 0.6 + -1.8 = -1.2
-0.05x = -1.2

Divide each side by '-0.05'.
x = 24

Simplifying
x = 24

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