0.3(x+15)+0.2(x+25)=12

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Solution for 0.3(x+15)+0.2(x+25)=12 equation: 


Simplifying
0.3(x + 15) + 0.2(x + 25) = 12

Reorder the terms:
0.3(15 + x) + 0.2(x + 25) = 12
(15 * 0.3 + x * 0.3) + 0.2(x + 25) = 12
(4.5 + 0.3x) + 0.2(x + 25) = 12

Reorder the terms:
4.5 + 0.3x + 0.2(25 + x) = 12
4.5 + 0.3x + (25 * 0.2 + x * 0.2) = 12
4.5 + 0.3x + (5 + 0.2x) = 12

Reorder the terms:
4.5 + 5 + 0.3x + 0.2x = 12

Combine like terms: 4.5 + 5 = 9.5
9.5 + 0.3x + 0.2x = 12

Combine like terms: 0.3x + 0.2x = 0.5x
9.5 + 0.5x = 12

Solving
9.5 + 0.5x = 12

Solving for variable 'x'.

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

Add '-9.5' to each side of the equation.
9.5 + -9.5 + 0.5x = 12 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + 0.5x = 12 + -9.5
0.5x = 12 + -9.5

Combine like terms: 12 + -9.5 = 2.5
0.5x = 2.5

Divide each side by '0.5'.
x = 5

Simplifying
x = 5

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