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Solved on Oct 27, 2023

Solve the equation −3(m−2)+m=5(3−m)-3(m-2)+m=5(3-m).

STEP 1

Assumptions1. The given equation is −3(m−)+m=5(3−m)-3(m-)+m=5(3-m). The variable in the equation is mm

STEP 2

First, we need to simplify the equation. We can do this by distributing the multiplication across the parentheses on both sides of the equation.
−timesm+times2+m=5times−5timesm- \\times m + \\times2 + m =5 \\times -5 \\times m

STEP 3

Now, simplify the equation by performing the multiplication.
−3m+6+m=15−5m-3m +6 + m =15 -5m

STEP 4

Combine like terms on both sides of the equation.
−2m+6=15−m-2m +6 =15 -m

STEP 5

To isolate the variable mm, we need to get all terms with mm on one side of the equation and the constants on the other side. We can do this by adding 5m5m to both sides of the equation.
−2m+5m+=15−5m+5m-2m +5m + =15 -5m +5m

STEP 6

implify the equation by performing the addition.
3m+6=153m +6 =15

STEP 7

Next, we subtract 66 from both sides of the equation to isolate the term with mm.
3m+6−6=15−63m +6 -6 =15 -6

STEP 8

implify the equation by performing the subtraction.
3m=3m =

STEP 9

Finally, we divide both sides of the equation by 33 to solve for mm.
m=93m = \frac{9}{3}

STEP 10

implify the equation by performing the division.
m=3m =3The solution to the equation is m=3m =3.

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