Answer:
[tex]x=1\dfrac{4}{13}[/tex]
Step-by-step explanation:
Given the equation
[tex]10+5(3x-4)=2x+7[/tex]
Use distributive property:
[tex]10+5\cdot 3x-5\cdot 4=2x+7\\ \\10+15x-20=2x+7[/tex]
Use commutative property to rewrite the equation:
[tex]15x+10-20=2x+7[/tex]
[tex]15x-10=2x+7[/tex]
Add 10 th both sides:
[tex]15x-10+10=2x+7+10\\ \\15x=2x+17[/tex]
Subtract [tex]2x:[/tex]
[tex]15x-2x=2x+17-2x\\ \\13x=17[/tex]
Divide by 13:
[tex]x=\dfrac{17}{13}=1\dfrac{4}{13}[/tex]
