Solve 6x-5*(3x+2)=5*(x-1)-12

$$6x-5 \times (3x+2)=5 \times (x-1)-12$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 3x+2.

$$6x-15x-10=5\left(x-1\right)-12$$

Combine 6x and -15x to get -9x.

$$-9x-10=5\left(x-1\right)-12$$

Use the distributive property to multiply 5 by x-1.

$$-9x-10=5x-5-12$$

Subtract 12 from -5 to get -17.

$$-9x-10=5x-17$$

Subtract 5x from both sides.

$$-9x-10-5x=-17$$

Combine -9x and -5x to get -14x.

$$-14x-10=-17$$

Add 10 to both sides.

$$-14x=-17+10$$

Add -17 and 10 to get -7.

$$-14x=-7$$

Divide both sides by -14.

$$x=\frac{-7}{-14}$$

Reduce the fraction \frac{-7}{-14} to lowest terms by extracting and canceling out -7.

$$x=\frac{1}{2}$$