Photo AI

Solve. 4x + 3 = 13 Multiply out and simplify - OCR - GCSE Maths - Question 2 - 2020 - Paper 1

Question icon

Question 2

Solve.-4x-+-3-=-13--Multiply-out-and-simplify-OCR-GCSE Maths-Question 2-2020-Paper 1.png

Solve. 4x + 3 = 13 Multiply out and simplify. 5(2x + 3) + 2(x - 4)

Worked Solution & Example Answer:Solve. 4x + 3 = 13 Multiply out and simplify - OCR - GCSE Maths - Question 2 - 2020 - Paper 1

Step 1

Solve.

96%

114 rated

Answer

To solve the equation 4x+3=134x + 3 = 13, we first isolate the variable on one side.

  1. Subtract 3 from both sides: 4x=13−34x = 13 - 3 4x=104x = 10

  2. Next, divide both sides by 4: x=104x = \frac{10}{4} x=52x = \frac{5}{2}

Step 2

Multiply out and simplify.

99%

104 rated

Answer

To multiply out and simplify the expression 5(2x+3)+2(x−4)5(2x + 3) + 2(x - 4), we proceed as follows:

  1. Distribute 5 in the first term and 2 in the second term: 5(2x)+5(3)+2(x)+2(−4)5(2x) + 5(3) + 2(x) + 2(-4) =10x+15+2x−8= 10x + 15 + 2x - 8

  2. Combine like terms: 10x+2x+15−810x + 2x + 15 - 8 =12x+7= 12x + 7

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;