Question

Solve for the variable: 3(x+2) - 9 = 15 - 4(5x - 2)

Answer 1

`\tt 3(x+2)-9=15-4(5x-2)`

To solve this equation, let's apply the distributive property:-

Multiple 3 by ( x+2)/ Subtract 9 from 6 = -3/ and then use the distributive property to multiply −4 by (5x-2) :-

`\tt 3x - 3=15 - 20x+8`

Add 15 and 8 = 23

`\tt 3x - 3=23 - 20x`

Now, add 20x to both sides:-

`\tt 3x - 3=23 - 20x`

Combine like terms:-

`\tt 23x-3=23`

Add 3 to both sides:-

`\tt 23x=23+3`

`\tt 23x=26`

Divide both sides by 23:-

`\tt \: x = (26)/(23)`

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