Solve 3*(4x-3*(x+5))=2*(2x-23)-19

$$3 \times (4x-3 \times (x+5))=2 \times (2x-23)-19$$

Solve for x

$$x=20$$

Steps for Solving Linear Equation

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

$$3\left(4x-3x-15\right)=2\left(2x-23\right)-19$$

Combine 4x and -3x to get x.

$$3\left(x-15\right)=2\left(2x-23\right)-19$$

Use the distributive property to multiply 3 by x-15.

$$3x-45=2\left(2x-23\right)-19$$

Use the distributive property to multiply 2 by 2x-23.

$$3x-45=4x-46-19$$

Subtract 19 from -46 to get -65.

$$3x-45=4x-65$$

Subtract 4x from both sides.

$$3x-45-4x=-65$$

Combine 3x and -4x to get -x.

$$-x-45=-65$$

Add 45 to both sides.

$$-x=-65+45$$

Add -65 and 45 to get -20.

$$-x=-20$$

Multiply both sides by -1.

$$x=20$$