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

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Solution for .1(x)+.15(10)=.12(x+15) equation: 


Simplifying
0.1(x) + 0.15(10) = 0.12(x + 15)

Multiply 0.15 * 10
0.1x + 1.5 = 0.12(x + 15)

Reorder the terms:
1.5 + 0.1x = 0.12(x + 15)

Reorder the terms:
1.5 + 0.1x = 0.12(15 + x)
1.5 + 0.1x = (15 * 0.12 + x * 0.12)
1.5 + 0.1x = (1.8 + 0.12x)

Solving
1.5 + 0.1x = 1.8 + 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.
1.5 + 0.1x + -0.12x = 1.8 + 0.12x + -0.12x

Combine like terms: 0.1x + -0.12x = -0.02x
1.5 + -0.02x = 1.8 + 0.12x + -0.12x

Combine like terms: 0.12x + -0.12x = 0.00
1.5 + -0.02x = 1.8 + 0.00
1.5 + -0.02x = 1.8

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.02x = 1.8 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.02x = 1.8 + -1.5
-0.02x = 1.8 + -1.5

Combine like terms: 1.8 + -1.5 = 0.3
-0.02x = 0.3

Divide each side by '-0.02'.
x = -15

Simplifying
x = -15

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