Question

x+3(3x+4) = x (8x+9)
Find the value of x

Answer 1

x+3+9x+12=8x square +9x
10x+15=64x+9x
10x+15=71x
15=71x-10x=61x
x=61/15

Answer 2

$x + 3(3x + 4) = x(8x + 9) \\ {3x}^{2} + 4x + 9x + 12 = 8 {x}^{2} + 9x \\ 3 {x}^{2} + 4x + 9x + 12 - {8x}^{2} - 9x = 0 \\ - 5 {x}^{2} + 13x + 12 - 9x = 0 \\ - 5 {x}^{2} + 4x + 12 = 0 \\ - (5x {}^{2} - 4x - 12) = 0 \\ 5 {x}^{2} - 4x - 12 = 0$



$5 {x}^{2} - 4x - 12 = 0 \\ 5 {x}^{2} - (10 -6 ) x - 12 = 0 \\ 5 {x}^{2} - 10x + 6x - 12 = 0 \\ 5x(x - 2) + 6(x - 2) = 0 \\ (5x + 6)(x - 2) = 0$

$5x + 6 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x - 2 = 0 \\ \: \: \: \: \: \: \: 5x = - 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 2 \\ \: \: \: \: \: \: \: \: \: x = \frac{ - 6}{5}$