0.3(x+15)+0.4(x+25)=32

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Solution for 0.3(x+15)+0.4(x+25)=32 equation: 


Simplifying
0.3(x + 15) + 0.4(x + 25) = 32

Reorder the terms:
0.3(15 + x) + 0.4(x + 25) = 32
(15 * 0.3 + x * 0.3) + 0.4(x + 25) = 32
(4.5 + 0.3x) + 0.4(x + 25) = 32

Reorder the terms:
4.5 + 0.3x + 0.4(25 + x) = 32
4.5 + 0.3x + (25 * 0.4 + x * 0.4) = 32
4.5 + 0.3x + (10 + 0.4x) = 32

Reorder the terms:
4.5 + 10 + 0.3x + 0.4x = 32

Combine like terms: 4.5 + 10 = 14.5
14.5 + 0.3x + 0.4x = 32

Combine like terms: 0.3x + 0.4x = 0.7x
14.5 + 0.7x = 32

Solving
14.5 + 0.7x = 32

Solving for variable 'x'.

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

Add '-14.5' to each side of the equation.
14.5 + -14.5 + 0.7x = 32 + -14.5

Combine like terms: 14.5 + -14.5 = 0.0
0.0 + 0.7x = 32 + -14.5
0.7x = 32 + -14.5

Combine like terms: 32 + -14.5 = 17.5
0.7x = 17.5

Divide each side by '0.7'.
x = 25

Simplifying
x = 25

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