Question

Find the value of x: 2 (7+x)-10 = 16-2 (x-24)​

Answer 1

Step-by-step explanation:

2 (7+x)-10 = 16-2 (x-24)

14+2x-10=16-2x+48

4x=60

x=15

Answer 2

Simplifying 2(7 + x) + -10 = 16 + -2(x + -24) (7 * 2 + x * 2) + -10 = 16 + -2(x + -24) (14 + 2x) + -10 = 16 + -2(x + -24) Reorder the terms: 14 + -10 + 2x = 16 + -2(x + -24) Combine like terms: 14 + -10 = 4 4 + 2x = 16 + -2(x + -24) Reorder the terms: 4 + 2x = 16 + -2(-24 + x) 4 + 2x = 16 + (-24 * -2 + x * -2) 4 + 2x = 16 + (48 + -2x) Combine like terms: 16 + 48 = 64 4 + 2x = 64 + -2x Solving 4 + 2x = 64 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 2x + 2x = 64 + -2x + 2x Combine like terms: 2x + 2x = 4x 4 + 4x = 64 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 4x = 64 + 0 4 + 4x = 64 Add '-4' to each side of the equation. 4 + -4 + 4x = 64 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 64 + -4 4x = 64 + -4 Combine like terms: 64 + -4 = 60 4x = 60 Divide each side by '4'. x = 15 Simplifying x = 15