Solve -4x-4/7=x-53/5

$$\frac { - 4 x - 4 } { 7 } = \frac { x - 53 } { 5 }$$

Solve for x

$$x=13$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 35, the least common multiple of 7,5.

$$5\left(-4x-4\right)=7\left(x-53\right)$$

Use the distributive property to multiply 5 by -4x-4.

$$-20x-20=7\left(x-53\right)$$

Use the distributive property to multiply 7 by x-53.

$$-20x-20=7x-371$$

Subtract 7x from both sides.

$$-20x-20-7x=-371$$

Combine -20x and -7x to get -27x.

$$-27x-20=-371$$

Add 20 to both sides.

$$-27x=-371+20$$

Add -371 and 20 to get -351.

$$-27x=-351$$

Divide both sides by -27.

$$x=\frac{-351}{-27}$$

Divide -351 by -27 to get 13.

$$x=13$$