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3x-4x=7

3x4x=7 3 x-4 x=7

Full solution

Q. 3x4x=7 3 x-4 x=7
  1. Combine Like Terms: Combine like terms on the left side of the equation.\newlineWe have 3x3x and 4x-4x, which are like terms because they both contain the variable xx.\newlineTo combine them, we add their coefficients: 34=13 - 4 = -1.\newlineSo, 3x4x3x - 4x simplifies to 1x-1x.
  2. Write Simplified Equation: Write the simplified equation.\newlineAfter combining like terms, our equation is now 1x=7-1x = 7.
  3. Solve for x: Solve for x.\newlineTo isolate xx, we need to divide both sides of the equation by 1-1.\newlineDoing so, we get x=71x = \frac{7}{-1}.
  4. Perform Division: Perform the division to find the value of xx.77 divided by 1-1 is 7-7. So, x=7x = -7.