.3(x+15)+.04(x+25)=25

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Solution for .3(x+15)+.04(x+25)=25 equation:


Simplifying
0.3(x + 15) + 0.04(x + 25) = 25

Reorder the terms:
0.3(15 + x) + 0.04(x + 25) = 25
(15 * 0.3 + x * 0.3) + 0.04(x + 25) = 25
(4.5 + 0.3x) + 0.04(x + 25) = 25

Reorder the terms:
4.5 + 0.3x + 0.04(25 + x) = 25
4.5 + 0.3x + (25 * 0.04 + x * 0.04) = 25
4.5 + 0.3x + (1 + 0.04x) = 25

Reorder the terms:
4.5 + 1 + 0.3x + 0.04x = 25

Combine like terms: 4.5 + 1 = 5.5
5.5 + 0.3x + 0.04x = 25

Combine like terms: 0.3x + 0.04x = 0.34x
5.5 + 0.34x = 25

Solving
5.5 + 0.34x = 25

Solving for variable 'x'.

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + 0.34x = 25 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 0.34x = 25 + -5.5
0.34x = 25 + -5.5

Combine like terms: 25 + -5.5 = 19.5
0.34x = 19.5

Divide each side by '0.34'.
x = 57.35294118

Simplifying
x = 57.35294118

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