1) 9 + 4x = 8x - 9Simplify:9 = 4x + 8x - 99 = 12x - 918 = 12xx = 18/12x = 1.5
2) 2(7 + 9x) = -6x + 2Simplify:14 + 18x = -6x + 218x + 6x = 2 - 1424x = -12x = -12/24x = -0.5
3) 10 - 3(1 - 7x) = -4x - 8Simplify:10 - 3 + 21x = -4x - 87 + 21x = -4x - 821x + 4x = -8 - 725x = -15x = -15/25x = -0.6
4) -2x + 1 + 5(x - 2) = -4(3 - x) + 1Simplify:-2x + 1 + 5x - 10 = -12 + 4x + 13x - 9 = -11 + 4x-9 + 11 = 4x - 3x2 = x
5) (x - 6)^2 = (x - 3)^2Expand both sides:x^2 - 12x + 36 = x^2 - 6x + 9-12x + 36 = -6x + 9-12x + 6x = 9 - 36-6x = -27x = 27/6x = 4.5
1) 9 + 4x = 8x - 9
Simplify:
9 = 4x + 8x - 9
9 = 12x - 9
18 = 12x
x = 18/12
x = 1.5
2) 2(7 + 9x) = -6x + 2
Simplify:
14 + 18x = -6x + 2
18x + 6x = 2 - 14
24x = -12
x = -12/24
x = -0.5
3) 10 - 3(1 - 7x) = -4x - 8
Simplify:
10 - 3 + 21x = -4x - 8
7 + 21x = -4x - 8
21x + 4x = -8 - 7
25x = -15
x = -15/25
x = -0.6
4) -2x + 1 + 5(x - 2) = -4(3 - x) + 1
Simplify:
-2x + 1 + 5x - 10 = -12 + 4x + 1
3x - 9 = -11 + 4x
-9 + 11 = 4x - 3x
2 = x
5) (x - 6)^2 = (x - 3)^2
Expand both sides:
x^2 - 12x + 36 = x^2 - 6x + 9
-12x + 36 = -6x + 9
-12x + 6x = 9 - 36
-6x = -27
x = 27/6
x = 4.5