Someone help me please

Answer:
a) x = 7.5
b) x = 1
Step-by-step explanation:
a) [tex]\frac{4x - 1}{2}[/tex] = x + 7
4x - 1 = 2(x + 7)
4x - 1 = 2x + 14
4x - 2x = 14 + 1
2x = 15
x = 7.5
b) 3x + 2 = [tex]\frac{2x + 13}{3}[/tex]
3(3x + 2) = 2x + 13
9x + 6 = 2x + 13
9x - 2x = 13 - 6
7x = 7
x = 1
REMEMBER: When moving numbers or symbols from one side of an equation to another, you must reverse the mathematical function (e.g. × becomes a ÷, and + becomes a -). A fraction is always a ÷, so when you move the denominator (bottom number), it becomes a ×.
Answer:
see explanation
Step-by-step explanation:
(a)
Given
[tex]\frac{4x-1}{2}[/tex] = x + 7
Multiply both sides by 2
4x - 1 = 2(x + 7) ← distribute
4x - 1 = 2x + 14 ( subtract 2x from both sides )
2x - 1 = 14 ( add 1 to both sides )
2x = 15 ( divide both sides by 2 )
x = [tex]\frac{15}{2}[/tex] = 7.5
(b)
Given
3x + 2 = [tex]\frac{2x+13}{3}[/tex]
Multiply both sides by 3
3(3x + 2) = 2x + 13 ← distribute left side
9x + 6 = 2x + 13 ( subtract 2x from both sides )
7x + 6 = 13 ( subtract 6 from both sides )
7x = 7 ( divide both sides by 7 )
x = 1