Solve 2(2-x)+3(4x-2)=7(x+4)

$$2 ( 2 - x ) + 3 ( 4 x - 2 ) = 7 ( x + 4 )$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

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

$$4-2x+3\left(4x-2\right)=7\left(x+4\right)$$

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

$$4-2x+12x-6=7\left(x+4\right)$$

Combine -2x and 12x to get 10x.

$$4+10x-6=7\left(x+4\right)$$

Subtract 6 from 4 to get -2.

$$-2+10x=7\left(x+4\right)$$

Use the distributive property to multiply 7 by x+4.

$$-2+10x=7x+28$$

Subtract 7x from both sides.

$$-2+10x-7x=28$$

Combine 10x and -7x to get 3x.

$$-2+3x=28$$

Add 2 to both sides.

$$3x=28+2$$

Add 28 and 2 to get 30.

$$3x=30$$

Divide both sides by 3.

$$x=\frac{30}{3}$$

Divide 30 by 3 to get 10.

$$x=10$$