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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3+4x.

$$6+8x-2=3-5\left(1-x\right)$$

Subtract 2 from 6 to get 4.

$$4+8x=3-5\left(1-x\right)$$

Use the distributive property to multiply -5 by 1-x.

$$4+8x=3-5+5x$$

Subtract 5 from 3 to get -2.

$$4+8x=-2+5x$$

Subtract 5x from both sides.

$$4+8x-5x=-2$$

Combine 8x and -5x to get 3x.

$$4+3x=-2$$

Subtract 4 from both sides.

$$3x=-2-4$$

Subtract 4 from -2 to get -6.

$$3x=-6$$

Divide both sides by 3.

$$x=\frac{-6}{3}$$

Divide -6 by 3 to get -2.

$$x=-2$$