Q:

-2(4x+3)-(x-7)=46 solve please step by step

Accepted Solution

A:
Answer:x=βˆ’5Explanation:Step 1: Simplify both sides of the equation.βˆ’2(4x+3)βˆ’(xβˆ’7)=46βˆ’2(4x+3)+βˆ’1(xβˆ’7)=46(Distribute the Negative Sign)βˆ’2(4x+3)+βˆ’1x+(βˆ’1)(βˆ’7)=46βˆ’2(4x+3)+βˆ’x+7=46(βˆ’2)(4x)+(βˆ’2)(3)+βˆ’x+7=46(Distribute)βˆ’8x+βˆ’6+βˆ’x+7=46(βˆ’8x+βˆ’x)+(βˆ’6+7)=46(Combine Like Terms)βˆ’9x+1=46βˆ’9x+1=46Step 2: Subtract 1 from both sides.βˆ’9x+1βˆ’1=46βˆ’1βˆ’9x=45Step 3: Divide both sides by -9.βˆ’9xβˆ’9=45βˆ’9x=βˆ’5