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How do you solve 10+5(3x-4)=2x+7

1 Answer

4 votes

Answer:


x=1(4)/(13)

Explanation:

Given the equation


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

Use distributive property:


10+5\cdot 3x-5\cdot 4=2x+7\\ \\10+15x-20=2x+7

Use commutative property to rewrite the equation:


15x+10-20=2x+7


15x-10=2x+7

Add 10 th both sides:


15x-10+10=2x+7+10\\ \\15x=2x+17

Subtract
2x:


15x-2x=2x+17-2x\\ \\13x=17

Divide by 13:


x=(17)/(13)=1(4)/(13)

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