.30(12)+.05x=.10(12+x)

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Solution for .30(12)+.05x=.10(12+x) equation:


Simplifying
0.30(12) + 0.05x = 0.10(12 + x)

Multiply 0.30 * 12
3.6 + 0.05x = 0.10(12 + x)
3.6 + 0.05x = (12 * 0.10 + x * 0.10)
3.6 + 0.05x = (1.2 + 0.10x)

Solving
3.6 + 0.05x = 1.2 + 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.
3.6 + 0.05x + -0.10x = 1.2 + 0.10x + -0.10x

Combine like terms: 0.05x + -0.10x = -0.05x
3.6 + -0.05x = 1.2 + 0.10x + -0.10x

Combine like terms: 0.10x + -0.10x = 0.00
3.6 + -0.05x = 1.2 + 0.00
3.6 + -0.05x = 1.2

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -0.05x = 1.2 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -0.05x = 1.2 + -3.6
-0.05x = 1.2 + -3.6

Combine like terms: 1.2 + -3.6 = -2.4
-0.05x = -2.4

Divide each side by '-0.05'.
x = 48

Simplifying
x = 48

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