Question

Difficulty: EasyLinear Equations in One and Two Variables

If $3(x - 2) + 4 = 2x + 11$ , what is the value of $x$ ?

Answer: 13

The value of

x

is 13.

Expanding the left side yields

3x - 6 + 4 = 3x - 2

. Equating this to the right side gives

3x - 2 = 2x + 11

. Subtracting

2x

from both sides gives

x - 2 = 11

, and adding

2

to both sides yields

x = 13

Expand the left side of the equation

3x - 6 + 4 = 2x + 11

Apply the distributive property

3(x - 2) = 3x - 6

Combine like constant terms on the left side

3x - 2 = 2x + 11

Combine

-6

and

+4

to get

-2

Subtract

2x

from both sides

x - 2 = 11

Move variable terms to one side of the equation.

Add 2 to both sides

x = 13

Isolate the variable

x

Solving Linear Equations in One Variable

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