How do you solve $2 x - 3 + 4 x = 21$ $2x-3+4x=21$ ?

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How do you solve $2 x - 3 + 4 x = 21$ $2x-3+4x=21$ ?

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Answer 1 · 2017-08-20T00:10:39

Combine like terms, and solve for the missing variable.

Answer: $x = 4$ $x=4$

Explanation:

Simply start out by combining like terms. That includes any variables with coefficients (numbers in front of the letters), and any other terms. In this case, we can combine $2 x$ $2x$ and $4 x$ $4x$ to make $6$ $6$ , while $- 3$ $-3$ stands alone as the only number on the left side of the equation. Now we have:

$6 x - 3 = 21$ $6x-3=21$

The following step would be to add $3$ $3$ to each side to cancel out the $- 3$ $-3$ and to consolidate the variable.

$6 x = 24$ $6x=24$

Now we simply divide by $6$ $6$ to get the variable (which in this case is $x$ $x$ ) alone.

$\frac{6}{6} x = \frac{24}{6}$ $6/6x=24/6$

These numbers divide evenly with each other to create a quotient such as $x = 4$ $x=4$ . Therefore, $x = 4$ $x=4$ is our answer. However let's plug $4$ $4$ back into the equation to see if both sides check out.

$6 (4) - 3 = 21$ $6(4)-3=21$

$6 (4) = 24$ $6(4)=24$

$24 - 3 = 21$ $24-3=21$

Does $21 = 21$ $21=21$ ? Yes! So our verification checks out.

Answer: $4$ $4$

Answer 2 · 2017-08-20T00:20:02

$x = 4$ $x = 4$

Explanation:

$2 x - 3 + 4 x = 21$ $2x - 3 + 4x = 21$

$6 x - 3 = 21$ $6x - 3 = 21$

$6 x = 21 + 3$ $6x = 21 + 3$

$6 x = 24$ $6x = 24$

$x = \frac{24}{6}$ $x = 24/6$

$x = 4$ $x = 4$

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How do you solve $2 x - 3 + 4 x = 21$ $2x-3+4x=21$ ?

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