Find the value of x
5 − 3(5x + 2) = 4(7 − 3x) + 1
Answers
Answer:
x = -10
Step-by-step explanation:
5 + -3(5x + 2) = 4(7 + -3x) + 1
5 + -3(2 + 5x) = 4(7 + -3x) + 1
5 + -3(2 + 5x) = 4(7 + -3x) + 15 + (2 * -3 + 5x * -3) = 4(7 + -3x) + 1
5 + -3(2 + 5x) = 4(7 + -3x) + 15 + (2 * -3 + 5x * -3) = 4(7 + -3x) + 15 + (-6 + -15x) = 4(7 + -3x) + 1
5 + -6 = -1
5 + -6 = -1-1 + -15x = 4(7 + -3x) + 1
5 + -6 = -1-1 + -15x = 4(7 + -3x) + 1-1 + -15x = (7 * 4 + -3x * 4) + 1
5 + -6 = -1-1 + -15x = 4(7 + -3x) + 1-1 + -15x = (7 * 4 + -3x * 4) + 1-1 + -15x = (28 + -12x) + 1
-1 + -15x = 28 + 1 + -12x
-1 + -15x = 28 + 1 + -12x28 + 1 = 29
-1 + -15x = 28 + 1 + -12x28 + 1 = 29-1 + -15x = 29 + -12x
-1 + -15x = 29 + -12x
-1 + -15x + 12x = 29 + -12x + 12x
-15x + 12x = -3x
-15x + 12x = -3x-1 + -3x = 29 + -12x + 12x
-12x + 12x = 0
-12x + 12x = 0-1 + -3x = 29 + 0
-12x + 12x = 0-1 + -3x = 29 + 0-1 + -3x = 29
-1 + 1 + -3x = 29 + 1
-1 + 1 = 0
-1 + 1 = 00 + -3x = 29 + 1
-1 + 1 = 00 + -3x = 29 + 1-3x = 29 + 1
29 + 1 = 30
29 + 1 = 30-3x = 30
x = -10
x = -10