Solve -x=left(2781left(x-263right)+44818left(x-273right)right)left(1/20*85+0024right)-294

$$-x = \left( 2781 \left( x-263 \right) +44818 \left( x-273 \right) \right) \left( \frac{ 1 }{ 20 \cdot 85 } +0024 \right) -294$$

Solve for x

$$x = \frac{4488839}{16433} = 273\frac{2630}{16433} \approx 273.160043814$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2781 by x-263.

$$-x=\left(2781x-731403+44818\left(x-273\right)\right)\left(\frac{1}{20\times 85}+0\times 0\times 24\right)-294$$

Use the distributive property to multiply 44818 by x-273.

$$-x=\left(2781x-731403+44818x-12235314\right)\left(\frac{1}{20\times 85}+0\times 0\times 24\right)-294$$

Combine 2781x and 44818x to get 47599x.

$$-x=\left(47599x-731403-12235314\right)\left(\frac{1}{20\times 85}+0\times 0\times 24\right)-294$$

Subtract 12235314 from -731403 to get -12966717.

$$-x=\left(47599x-12966717\right)\left(\frac{1}{20\times 85}+0\times 0\times 24\right)-294$$

Multiply 20 and 85 to get 1700.

$$-x=\left(47599x-12966717\right)\left(\frac{1}{1700}+0\times 0\times 24\right)-294$$

Multiply 0 and 0 to get 0.

$$-x=\left(47599x-12966717\right)\left(\frac{1}{1700}+0\times 24\right)-294$$

Multiply 0 and 24 to get 0.

$$-x=\left(47599x-12966717\right)\left(\frac{1}{1700}+0\right)-294$$

Add \frac{1}{1700} and 0 to get \frac{1}{1700}.

$$-x=\left(47599x-12966717\right)\times \frac{1}{1700}-294$$

Use the distributive property to multiply 47599x-12966717 by \frac{1}{1700}.

$$-x=47599x\times \frac{1}{1700}-12966717\times \frac{1}{1700}-294$$

Multiply 47599 and \frac{1}{1700} to get \frac{47599}{1700}.

$$-x=\frac{47599}{1700}x-12966717\times \frac{1}{1700}-294$$

Multiply -12966717 and \frac{1}{1700} to get \frac{-12966717}{1700}.

$$-x=\frac{47599}{1700}x+\frac{-12966717}{1700}-294$$

Fraction \frac{-12966717}{1700} can be rewritten as -\frac{12966717}{1700} by extracting the negative sign.

$$-x=\frac{47599}{1700}x-\frac{12966717}{1700}-294$$

Convert 294 to fraction \frac{499800}{1700}.

$$-x=\frac{47599}{1700}x-\frac{12966717}{1700}-\frac{499800}{1700}$$

Since -\frac{12966717}{1700} and \frac{499800}{1700} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{47599}{1700}x+\frac{-12966717-499800}{1700}$$

Subtract 499800 from -12966717 to get -13466517.

$$-x=\frac{47599}{1700}x-\frac{13466517}{1700}$$

Subtract \frac{47599}{1700}x from both sides.

$$-x-\frac{47599}{1700}x=-\frac{13466517}{1700}$$

Combine -x and -\frac{47599}{1700}x to get -\frac{49299}{1700}x.

$$-\frac{49299}{1700}x=-\frac{13466517}{1700}$$

Multiply both sides by -\frac{1700}{49299}, the reciprocal of -\frac{49299}{1700}.

$$x=-\frac{13466517}{1700}\left(-\frac{1700}{49299}\right)$$

Multiply -\frac{13466517}{1700} times -\frac{1700}{49299} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-13466517\left(-1700\right)}{1700\times 49299}$$

Do the multiplications in the fraction \frac{-13466517\left(-1700\right)}{1700\times 49299}.

$$x=\frac{22893078900}{83808300}$$

Reduce the fraction \frac{22893078900}{83808300} to lowest terms by extracting and canceling out 5100.

$$x=\frac{4488839}{16433}$$