Solve 2(3+x)-10=4(2-x)

$$2 ( 3 + x ) - 10 = 4 ( 2 - x )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$6+2x-10=4\left(2-x\right)$$

Subtract 10 from 6 to get -4.

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

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

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

Add 4x to both sides.

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

Combine 2x and 4x to get 6x.

$$-4+6x=8$$

Add 4 to both sides.

$$6x=8+4$$

Add 8 and 4 to get 12.

$$6x=12$$

Divide both sides by 6.

$$x=\frac{12}{6}$$

Divide 12 by 6 to get 2.

$$x=2$$