Solve x-3*(x-5*(x-4))=10*(x-3)

$$x - 3 \cdot ( x - 5 \cdot ( x - 4 ) ) = 10 \cdot ( x - 3 )$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

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

$$x-3\left(x-5x+20\right)=10\left(x-3\right)$$

Combine x and -5x to get -4x.

$$x-3\left(-4x+20\right)=10\left(x-3\right)$$

Use the distributive property to multiply -3 by -4x+20.

$$x+12x-60=10\left(x-3\right)$$

Combine x and 12x to get 13x.

$$13x-60=10\left(x-3\right)$$

Use the distributive property to multiply 10 by x-3.

$$13x-60=10x-30$$

Subtract 10x from both sides.

$$13x-60-10x=-30$$

Combine 13x and -10x to get 3x.

$$3x-60=-30$$

Add 60 to both sides.

$$3x=-30+60$$

Add -30 and 60 to get 30.

$$3x=30$$

Divide both sides by 3.

$$x=\frac{30}{3}$$

Divide 30 by 3 to get 10.

$$x=10$$