Solve 2(x-1)+3(2x+4)=3x-2

$$2 ( x - 1 ) + 3 ( 2 x + 4 ) = 3 x - 2$$

Solve for x

$$x = -\frac{12}{5} = -2\frac{2}{5} = -2.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-1.

$$2x-2+3\left(2x+4\right)=3x-2$$

Use the distributive property to multiply 3 by 2x+4.

$$2x-2+6x+12=3x-2$$

Combine 2x and 6x to get 8x.

$$8x-2+12=3x-2$$

Add -2 and 12 to get 10.

$$8x+10=3x-2$$

Subtract 3x from both sides.

$$8x+10-3x=-2$$

Combine 8x and -3x to get 5x.

$$5x+10=-2$$

Subtract 10 from both sides.

$$5x=-2-10$$

Subtract 10 from -2 to get -12.

$$5x=-12$$

Divide both sides by 5.

$$x=\frac{-12}{5}$$

Fraction \frac{-12}{5} can be rewritten as -\frac{12}{5} by extracting the negative sign.

$$x=-\frac{12}{5}$$