23.67(8.25-x)=15.4(4.45+x)

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Solution for 23.67(8.25-x)=15.4(4.45+x) equation:


Simplifying
23.67(8.25 + -1x) = 15.4(4.45 + x)
(8.25 * 23.67 + -1x * 23.67) = 15.4(4.45 + x)
(195.2775 + -23.67x) = 15.4(4.45 + x)
195.2775 + -23.67x = (4.45 * 15.4 + x * 15.4)
195.2775 + -23.67x = (68.53 + 15.4x)

Solving
195.2775 + -23.67x = 68.53 + 15.4x

Solving for variable 'x'.

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

Add '-15.4x' to each side of the equation.
195.2775 + -23.67x + -15.4x = 68.53 + 15.4x + -15.4x

Combine like terms: -23.67x + -15.4x = -39.07x
195.2775 + -39.07x = 68.53 + 15.4x + -15.4x

Combine like terms: 15.4x + -15.4x = 0.0
195.2775 + -39.07x = 68.53 + 0.0
195.2775 + -39.07x = 68.53

Add '-195.2775' to each side of the equation.
195.2775 + -195.2775 + -39.07x = 68.53 + -195.2775

Combine like terms: 195.2775 + -195.2775 = 0.0000
0.0000 + -39.07x = 68.53 + -195.2775
-39.07x = 68.53 + -195.2775

Combine like terms: 68.53 + -195.2775 = -126.7475
-39.07x = -126.7475

Divide each side by '-39.07'.
x = 3.24411313

Simplifying
x = 3.24411313

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