23.03.2023 - 01:17

Solve for the value of ‘x’. 2(3x – 7) + 4(3x + 2) = 6(5x + 9) + 3

Question:

Solve for the value of ‘x’.

2(3x – 7) + 4(3x + 2) = 6(5x + 9) + 3

Answers (1)
  • Ethel
    April 16, 2023 в 09:28
    First, we need to simplify both sides of the equation using the distributive property of multiplication. On the left side, we have: 2(3x - 7) + 4(3x + 2) = 6x - 14 + 12x + 8 (distribute the 2 and 4) = 18x - 6 (combine like terms) On the right side, we have: 6(5x + 9) + 3 = 30x + 54 + 3 = 30x + 57 (combine like terms) Now we can set the left and right sides equal to each other and solve for x: 18x - 6 = 30x + 57 Subtracting 18x from both sides: -6 = 12x + 57 Subtracting 57 from both sides: -63 = 12x Dividing both sides by 12: x = -5.25 Therefore, the value of x is -5.25.
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