.20(12)+.05x=.10(12+x)

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Solution for .20(12)+.05x=.10(12+x) equation:


Simplifying
0.20(12) + 0.05x = 0.10(12 + x)

Multiply 0.20 * 12
2.4 + 0.05x = 0.10(12 + x)
2.4 + 0.05x = (12 * 0.10 + x * 0.10)
2.4 + 0.05x = (1.2 + 0.10x)

Solving
2.4 + 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.
2.4 + 0.05x + -0.10x = 1.2 + 0.10x + -0.10x

Combine like terms: 0.05x + -0.10x = -0.05x
2.4 + -0.05x = 1.2 + 0.10x + -0.10x

Combine like terms: 0.10x + -0.10x = 0.00
2.4 + -0.05x = 1.2 + 0.00
2.4 + -0.05x = 1.2

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -0.05x = 1.2 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -0.05x = 1.2 + -2.4
-0.05x = 1.2 + -2.4

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

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

Simplifying
x = 24

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