Solve 3x+4x=3(x-24)+5(x+12)

$$3 x + 4 x = 3 ( x - 24 ) + 5 ( x + 12 )$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Combine 3x and 4x to get 7x.

$$7x=3\left(x-24\right)+5\left(x+12\right)$$

Use the distributive property to multiply 3 by x-24.

$$7x=3x-72+5\left(x+12\right)$$

Use the distributive property to multiply 5 by x+12.

$$7x=3x-72+5x+60$$

Combine 3x and 5x to get 8x.

$$7x=8x-72+60$$

Add -72 and 60 to get -12.

$$7x=8x-12$$

Subtract 8x from both sides.

$$7x-8x=-12$$

Combine 7x and -8x to get -x.

$$-x=-12$$

Multiply both sides by -1.

$$x=12$$