∑ Hey, claudiavg2000 ⊃
Answer:
One solution : x = 1
Step-by-step explanation:
Given:
7x-3x+7=3(x-4)+20
Solve:
7x-3x+7=3(x-4)+20
Subtracting 7x -3x
7x - 3x = 4x
Thus we have,
4x + 7 = 3(x-4) + 20
Now we have to expand 3 (x - 4 ) + 20
3 · x = 3x
3 · -4 = - 12
3x - 12 + 20
3x + 8
Now we have;
4x + 7 = 3x + 8
Subtracting 7 from both sides:
4x + 7 -7 = 3x + 8 -7
4x = 3x + 1
Subtracting 3x from both sides:
4x - 3x = 3x + 1 - 3x
x = 1
Hence, there is one solution which is x = 1.
xcookiex12
8/18/2022
[tex]\bold{Heya...}[/tex]
7x - 3x + 7 = 3(x - 4) + 20.
Let's solve your equation step-by-step ~
[tex]\mathtt{7x - 3x + 7 = 3(x - 4) + 20}[/tex]
Step 1: Simplify both sides of the equation.
[tex]\mathtt{7x - 3x + 7 = 3(x \: - \: 4) \: + \: 20}[/tex]
[tex]\mathtt{7x \: + \: - \: 3x \: + \: 7 \: = \: (3) \: (x) \: + \: (3) \: (-4) \: + \: 20}[/tex] (distribute)
[tex]\mathtt{7x \: + \: - \: 3x \: + \: 7 \: = \: 3x \: + \: - \: 12 \: + \: 20}[/tex]
[tex]\mathtt{(7x \: + \: -3x) \: + \: (7) \: = \: (3x) \: + \: (-12 \: + 20)}[/tex] (combine like terms)
[tex]\mathtt{4x \: + \: 7 \: = \: 3x \: + \: 8}[/tex]
Step 2: Subtract 3x from both sides.
[tex]\mathtt{4x \: + \: 7 \: - \: 3x \: = \: 3x \: + \: 8 \: - \: 3x}[/tex]
[tex]\mathtt{x \: + 7 \: = \: 8}[/tex]
Step 3: Subtract 7 from both sides.
[tex]\mathtt{x \: + \: 7 \: - \: 7 \: = \: 8 \: - \: 7}[/tex]
[tex]\mathtt{x \: = \: 1}[/tex]
[tex]\underline{A \: n \: s \: w \: e \: r \: :}[/tex]
[tex]\mathtt{x \: = \: 1}[/tex]
Hope It Helps U...
#LearnWithBrainly
[tex]\sf{ItzSehzadi}[/tex]
