1. 解方程.
(1)(2024·新疆中考)$2(x-1)-3=x$
(2)(吐鲁番模拟)$5x+2=3(x+2)$
(3)(乌鲁木齐模拟)$\frac{x-3}{2}+\frac{x-1}{3}=4$

1. (1) x=5 (2) x=2 (3) x=7

2. 解方程.
(1) $5(x - 5) + 2x = -4$
(2) $x - \frac{x - 2}{2} = 1 + \frac{2x - 1}{3}$
(3) $\frac{1}{2}x + 2(\frac{5}{4}x + 1) = 8 + x$

2. (1) x=3 (2) x=2 (3) x=3

3. 解方程组.
(1)(2025·新疆中考)$\begin{cases} 3x - y = 5 \quad ① \\ x + y = 3 \quad ② \end{cases}$
(2)(乌鲁木齐模拟)$\begin{cases} x + 2y = 10 \quad ① \\ y = 2x \quad ② \end{cases}$
(3)(吐鲁番模拟)$\begin{cases} x + 1 = 2y \quad ① \\ 2(x + 1) - y = 8 \quad ② \end{cases}$

(1) $\begin{cases} x=2 \\ y=1 \end{cases}$ (2) $\begin{cases} x=2 \\ y=4 \end{cases}$ (3) $\begin{cases} x=\frac{13}{3} \\ y=\frac{8}{3} \end{cases}$

4. 解方程组.
(1)
(2) $\begin{cases} 3x -4(x-2y)=5 &① \\ x-2y=1 &② \end{cases}$
(3) $\begin{cases} 3x -2y +20=0 &① \\ 2x +15y -3=0 &② \end{cases}$
(4) $\begin{cases} x -2y=3 &① \\ \dfrac{1}{2}x + \dfrac{3}{4}y = \dfrac{13}{4} &② \end{cases}$

(1) $\begin{cases} x=2 \\ y=4 \end{cases}$ (2) $\begin{cases} x=3 \\ y=1 \end{cases}$ (3) $\begin{cases} x=-6 \\ y=1 \end{cases}$ (4) $\begin{cases} x=5 \\ y=1 \end{cases}$