Question

A) 4x+9=x-6
B) 5x-3+2x=x+3x
C) 2x+4-x=2(x+1)
D) 5(3x+2)=4-4x-10

Answer 1

$a) \\ 4x+9=x-6 \\ \\ 4x - x = -6 - 9 \\ \\ 3x = - 15 \\ \\ x = -\dfrac{15}{3} \\ \\ x = - 5$

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$b) \\ 5x-3+2x=x+3x \\ \\ 7x - 3 = 4x \\ \\ 7x - 4x = 3 \\ \\ 3x = 3 \\ \\ x = \frac{3}{3} \\ \\ x = 1$

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$c) \\ 2x+4-x=2(x+1) \\ \\ x + 4 = 2x + 2 \\ \\ x - 2x = 2 - 4 \\ \\ -x = - 2 *(-1) \\ \\ x = 2$

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$d) \\ 5(3x+2)=4-4x-10 \\ \\ 15x + 10 = -4x - 6 \\ \\ 15x + 4x = -6 - 10 \\ \\ 19x = - 16 \\ \\ x = \dfrac{-16}{19}$