Solve 2(x+7)-34=4x-11x+4(x-1)

$$2 ( x + 7 ) - 34 = 4 x - 11 x + 4 ( x - 1 )$$

Solve for x

$$x = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+7.

$$2x+14-34=4x-11x+4\left(x-1\right)$$

Subtract 34 from 14 to get -20.

$$2x-20=4x-11x+4\left(x-1\right)$$

Combine 4x and -11x to get -7x.

$$2x-20=-7x+4\left(x-1\right)$$

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

$$2x-20=-7x+4x-4$$

Combine -7x and 4x to get -3x.

$$2x-20=-3x-4$$

Add 3x to both sides.

$$2x-20+3x=-4$$

Combine 2x and 3x to get 5x.

$$5x-20=-4$$

Add 20 to both sides.

$$5x=-4+20$$

Add -4 and 20 to get 16.

$$5x=16$$

Divide both sides by 5.

$$x=\frac{16}{5}$$