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pdfcoffee.com_cambridge-secondar... 5x-2=3(x+4)

pdfcoffee.com_cambridge-secondar...\newline5x−2=3(x+4) 5 x-2=3(x+4)

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Q. pdfcoffee.com_cambridge-secondar...\newline5x−2=3(x+4) 5 x-2=3(x+4)
  1. Distribute 33 into parentheses: First, let's distribute the 33 into the parentheses on the right side of the equation.5x−2=3x+125x - 2 = 3x + 12
  2. Combine xx terms and constants: Now, we need to get all the xx terms on one side and the constants on the other side. Let's subtract 3x3x from both sides.\newline5x−3x−2=3x−3x+125x - 3x - 2 = 3x - 3x + 12
  3. Simplify by combining like terms: Simplify the equation by combining like terms. 2x−2=122x - 2 = 12
  4. Isolate x term: Next, we'll add 22 to both sides to isolate the term with xx.\newline2x−2+2=12+22x - 2 + 2 = 12 + 2
  5. Add to isolate x: Simplify the equation by adding the numbers. 2x=142x = 14
  6. Divide to solve for x: Finally, divide both sides by 22 to solve for x.\newline2x2=142\frac{2x}{2} = \frac{14}{2}\newlinex=7x = 7

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