.10x+(.15)(20)=(.12)(x+20)

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Solution for .10x+(.15)(20)=(.12)(x+20) equation: 


Simplifying
0.10x + (0.15)(20) = (0.12)(x + 20)

Multiply 0.15 * 20
0.10x + 3 = (0.12)(x + 20)

Reorder the terms:
3 + 0.10x = (0.12)(x + 20)

Reorder the terms:
3 + 0.10x = 0.12(20 + x)
3 + 0.10x = (20 * 0.12 + x * 0.12)
3 + 0.10x = (2.4 + 0.12x)

Solving
3 + 0.10x = 2.4 + 0.12x

Solving for variable 'x'.

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

Add '-0.12x' to each side of the equation.
3 + 0.10x + -0.12x = 2.4 + 0.12x + -0.12x

Combine like terms: 0.10x + -0.12x = -0.02x
3 + -0.02x = 2.4 + 0.12x + -0.12x

Combine like terms: 0.12x + -0.12x = 0.00
3 + -0.02x = 2.4 + 0.00
3 + -0.02x = 2.4

Add '-3' to each side of the equation.
3 + -3 + -0.02x = 2.4 + -3

Combine like terms: 3 + -3 = 0
0 + -0.02x = 2.4 + -3
-0.02x = 2.4 + -3

Combine like terms: 2.4 + -3 = -0.6
-0.02x = -0.6

Divide each side by '-0.02'.
x = 30

Simplifying
x = 30

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