Solve 4*(3x-8)+7=19-4*(3x-1)

$$4 \cdot ( 3 x - 8 ) + 7 = 19 - 4 \cdot ( 3 x - 1 )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 3x-8.

$$12x-32+7=19-4\left(3x-1\right)$$

Add -32 and 7 to get -25.

$$12x-25=19-4\left(3x-1\right)$$

Use the distributive property to multiply -4 by 3x-1.

$$12x-25=19-12x+4$$

Add 19 and 4 to get 23.

$$12x-25=23-12x$$

Add 12x to both sides.

$$12x-25+12x=23$$

Combine 12x and 12x to get 24x.

$$24x-25=23$$

Add 25 to both sides.

$$24x=23+25$$

Add 23 and 25 to get 48.

$$24x=48$$

Divide both sides by 24.

$$x=\frac{48}{24}$$

Divide 48 by 24 to get 2.

$$x=2$$