Solve the following equation and check the solution 5 – 3(5x + 2) = 4(7 – 3x) +1

x= -10

Step-by-step explanation:

5 – 3(5x + 2) = 4(7 – 3x) +1

5-15x+6=28-12x+1

-1 - 15x=29-12x

-15x+12x=29+1

-3x=30

x= -10

Check:

5-3(5(-10)+2)=4(7-3(-10))+1

5-3(-50+2)=4(7+30)+1

5-3(-48)=4(37)+1

5+144=148+1

149=149

so its true

x = -10

Step-by-step explanation:

5 – 3(5x + 2) = 4(7 – 3x) +1

5-(3*5x)-(3*2)=(4*7)-(4*3x)+1

5-15x-6=28-12x+1

Combine like terms

-15x-1=29-12x

15x-12x=-29-1

3x=-30

x = -30/3 = -10

To check the solution, substitute the value of -10 for x

5 – 3(5x + 2) = 4(7 – 3x) +1

5-3(5*(-10)+2)=4(7-3(-10))+1

5-3(-50+2)=4(7+30)+1

5-3(-48)=4(37)+1

5+144=148+1

149=149

So, the solution -10 is correct

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