Solve 5(3x-4)-2(2-6x)=3(x-10)

$$5 ( 3 x - 4 ) - 2 ( 2 - 6 x ) = 3 ( x - 10 )$$

Solve for x

$$x=-\frac{1}{4}=-0.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 3x-4.

$$15x-20-2\left(2-6x\right)=3\left(x-10\right)$$

Use the distributive property to multiply -2 by 2-6x.

$$15x-20-4+12x=3\left(x-10\right)$$

Subtract 4 from -20 to get -24.

$$15x-24+12x=3\left(x-10\right)$$

Combine 15x and 12x to get 27x.

$$27x-24=3\left(x-10\right)$$

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

$$27x-24=3x-30$$

Subtract 3x from both sides.

$$27x-24-3x=-30$$

Combine 27x and -3x to get 24x.

$$24x-24=-30$$

Add 24 to both sides.

$$24x=-30+24$$

Add -30 and 24 to get -6.

$$24x=-6$$

Divide both sides by 24.

$$x=\frac{-6}{24}$$

Reduce the fraction \frac{-6}{24} to lowest terms by extracting and canceling out 6.

$$x=-\frac{1}{4}$$