Answer:
The value of x will be:
Step-by-step explanation:
Given the equation
[tex]4-2(x+7)=3(x+5)[/tex]
Multiply (or distribute) each term in parenthesis on L.H.S by -2, and multiply (or distribute) each term in parenthesis on R.H.S by 3.
[tex]4-2x-14=3x+15[/tex]
simplifying the equation by subtracting 14 from the L.H.S
[tex]-10-2x=3x+15[/tex]
Subtracting 15 from both sides
[tex]-10-2x-15=3x+15-15[/tex]
[tex]-25-2x=3x[/tex]
combining the like terms
[tex]-25=3x+2x[/tex]
[tex]-25=5x[/tex]
dividing both sides of the equation by 5
[tex]\frac{-25}{5}\:=\:\frac{5x}{5}[/tex]
[tex]-5=x[/tex]
Therefore, the value of x will be:
