Solve 4x+1+3x-5=2*(x-2)+30

$$4 x + 1 + 3 x - 5 = 2 \cdot ( x - 2 ) + 30$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Combine 4x and 3x to get 7x.

$$7x+1-5=2\left(x-2\right)+30$$

Subtract 5 from 1 to get -4.

$$7x-4=2\left(x-2\right)+30$$

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

$$7x-4=2x-4+30$$

Add -4 and 30 to get 26.

$$7x-4=2x+26$$

Subtract 2x from both sides.

$$7x-4-2x=26$$

Combine 7x and -2x to get 5x.

$$5x-4=26$$

Add 4 to both sides.

$$5x=26+4$$

Add 26 and 4 to get 30.

$$5x=30$$

Divide both sides by 5.

$$x=\frac{30}{5}$$

Divide 30 by 5 to get 6.

$$x=6$$