展开 1/3 (x+6=5(x/3-4))

解答

展开

\frac{1}{3} (x + 6 = 5 (\frac{x}{3} - 4))

\frac{x}{3} + 2 = \frac{5 x}{3} - 20

求解步骤

\frac{1}{3} (x + 6 = 5 (\frac{x}{3} - 4))

= \frac{1}{3} (x + 6 \cdot 5 = (\frac{x}{3} - 4))

使用分配律:

a (b + c) = ab + a c

a = \frac{1}{3}, b = x, c = 6 = 5 (\frac{x}{3} - 4)

\frac{1}{3} x + \frac{1}{3} \cdot 6 = 5 (\frac{x}{3} - 4)

\frac{1}{3} x + 6 \cdot \frac{1}{3} = 5 (\frac{x}{3} - 4)

化简

\frac{1}{3} x + 6 \cdot \frac{1}{3} = 5 (\frac{x}{3} - 4) : \frac{x}{3} + 2 = \frac{5 x}{3} - 20

\frac{x}{3} + 2 = \frac{5 x}{3} - 20

e x p an d (2 (x - 3))^{2} + 4

e x p an d (- 5 = 4 u + 2 y (u)) (- 9)

e x p an d \frac{( 10 - 5 j ) ( 8 + 6 j )}{18 + j}

e x p an d n u mb er a (x - 1) (x - 5)^{3} + 10

e x p an d (2 e^{x} cos (2 x) + e^{x} sin (2 x))^{2}