Question

3(15-4x)+5(3x-7)= 15

Answer 1

Simplifying 3(15 + -4x) + 5(3x + -7) = 15 (15 * 3 + -4x * 3) + 5(3x + -7) = 15 (45 + -12x) + 5(3x + -7) = 15 Reorder the terms: 45 + -12x + 5(-7 + 3x) = 15 45 + -12x + (-7 * 5 + 3x * 5) = 15 45 + -12x + (-35 + 15x) = 15 Reorder the terms: 45 + -35 + -12x + 15x = 15 Combine like terms: 45 + -35 = 10 10 + -12x + 15x = 15 Combine like terms: -12x + 15x = 3x 10 + 3x = 15 Solving 10 + 3x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 15 + -10 3x = 15 + -10 Combine like terms: 15 + -10 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667