We are given the following equation:
[tex]2(10-13x)+9x=-34x+60[/tex]
In the first step we will use the distributive property on the left side:
[tex]20-26x+9x=-34x+60[/tex]
In step 2, we will add like terms on the left side using associative properties of addition and subtraction and we will subtract 20 from both sides, we get:
[tex](20-20)+(-26x+9x)=-34x+(60-20)[/tex]
Solving the operations we get:
[tex]-17x=-34x+40[/tex]
In step 3 we will add 34x to both sides, this is the inverse additive inverse:
[tex](-17x+34x)=(-34x+34x)+40[/tex]
Solving the operations:
[tex]17x=40[/tex]
In step 4, we divide both sides by 17, this is the division property of equality:
[tex](\frac{17x}{17})=\frac{40}{17}[/tex]
Solving the operations:
[tex]x=\frac{40}{17}[/tex]
