Solve -7/5x+21/5=-667/90

$$- \frac { 7 } { 5 } x + 2 \frac { 1 } { 5 } = - 6 \frac { 67 } { 90 }$$

Solve for x

$$x = \frac{115}{18} = 6\frac{7}{18} \approx 6.388888889$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 90, the least common multiple of 5,90.

$$-126x+18\left(2\times 5+1\right)=-\left(6\times 90+67\right)$$

Multiply 2 and 5 to get 10.

$$-126x+18\left(10+1\right)=-\left(6\times 90+67\right)$$

Add 10 and 1 to get 11.

$$-126x+18\times 11=-\left(6\times 90+67\right)$$

Multiply 18 and 11 to get 198.

$$-126x+198=-\left(6\times 90+67\right)$$

Multiply 6 and 90 to get 540.

$$-126x+198=-\left(540+67\right)$$

Add 540 and 67 to get 607.

$$-126x+198=-607$$

Subtract 198 from both sides.

$$-126x=-607-198$$

Subtract 198 from -607 to get -805.

$$-126x=-805$$

Divide both sides by -126.

$$x=\frac{-805}{-126}$$

Reduce the fraction \frac{-805}{-126} to lowest terms by extracting and canceling out -7.

$$x=\frac{115}{18}$$