Question

Solve the equation for x:

2(5x + 3) = 7x - 8

A) x = 2
B) x = -2
C) x = 3
D) x = 4

Answer 1

To solve the equation 2(5x + 3) = 7x - 8, distribute the 2 to the terms inside the parentheses, combine like terms, isolate x, and solve for the value of x, which is approximately -4.67.

Step-by-step explanation:

To solve the equation 2(5x + 3) = 7x - 8, we start by distributing the 2 to the terms inside the parentheses: 10x + 6 = 7x - 8.

Next, we can move all the terms with x to one side of the equation and the constant terms to the other side. Subtracting 7x from both sides gives us 10x - 7x + 6 = -8.

Combining like terms, we have 3x + 6 = -8. To isolate x, we subtract 6 from both sides: 3x = -14. Finally, dividing both sides by 3 gives us x = -14/3, which is approximately -4.67.