13.2k views
4 votes
How do i do 3=4(x-2)+5-3x

2 Answers

4 votes

Answer:

x = 6

Explanation:

multiply both terms in the parenthesis by the factor 4:

3 = 4(x-2) + 5 - 3x

3 = (4*x) - (4*2) + 5 - 3x

then simplify

3 = 4x - 8 + 5 - 3x

rearrange terms

3 = 4x - 3x - 8 + 5

subtract 3x from 4x: (4x - 3x = 1x, which is just x)

3 = 1x - 3

3 = x - 3

then add 3 to both sides:

6 = x

x = 6

User Maurizio Reginelli
by
3.8k points
6 votes

Answer:

6 = x

Explanation:

first, we simplify the parenthesis by distributing the 4

3 = 4(x - 2) + 5 - 3x

3 = 4x - 8 + 5 - 3x

then, you add like terms

3 = x - 3

then add 3 to both sides to isolate x

6 = x

User Rafaelncarvalho
by
4.5k points