Solve 5/10-5x+5/15=5-x+25/45

$$\frac { 5 } { 10 } - \frac { 5 x + 5 } { 15 } = 5 \frac { - x + 25 } { 45 }$$

Solve for x

$$x = -\frac{47}{4} = -11\frac{3}{4} = -11.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 90, the least common multiple of 10,15,45.

$$9\times 5-6\left(5x+5\right)=10\left(-x+25\right)$$

Multiply 9 and 5 to get 45.

$$45-6\left(5x+5\right)=10\left(-x+25\right)$$

Use the distributive property to multiply -6 by 5x+5.

$$45-30x-30=10\left(-x+25\right)$$

Subtract 30 from 45 to get 15.

$$15-30x=10\left(-x+25\right)$$

Use the distributive property to multiply 10 by -x+25.

$$15-30x=10\left(-x\right)+250$$

Subtract 10\left(-x\right) from both sides.

$$15-30x-10\left(-x\right)=250$$

Multiply -1 and 10 to get -10.

$$15-30x-10\left(-1\right)x=250$$

Multiply -10 and -1 to get 10.

$$15-30x+10x=250$$

Combine -30x and 10x to get -20x.

$$15-20x=250$$

Subtract 15 from both sides.

$$-20x=250-15$$

Subtract 15 from 250 to get 235.

$$-20x=235$$

Divide both sides by -20.

$$x=\frac{235}{-20}$$

Reduce the fraction \frac{235}{-20} to lowest terms by extracting and canceling out 5.

$$x=-\frac{47}{4}$$