Solve 4+3(2x-1)=2+2(2x-4)

$$4 + 3 ( 2 x - 1 ) = 2 + 2 ( 2 x - 4 )$$

Solve for x

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x-1.

$$4+6x-3=2+2\left(2x-4\right)$$

Subtract 3 from 4 to get 1.

$$1+6x=2+2\left(2x-4\right)$$

Use the distributive property to multiply 2 by 2x-4.

$$1+6x=2+4x-8$$

Subtract 8 from 2 to get -6.

$$1+6x=-6+4x$$

Subtract 4x from both sides.

$$1+6x-4x=-6$$

Combine 6x and -4x to get 2x.

$$1+2x=-6$$

Subtract 1 from both sides.

$$2x=-6-1$$

Subtract 1 from -6 to get -7.

$$2x=-7$$

Divide both sides by 2.

$$x=\frac{-7}{2}$$

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$x=-\frac{7}{2}$$