Solving Linear Equations: One-Step and Two-Step Methods | 解一元一次方程：一步与两步方法

📚 Solving Linear Equations: One-Step and Two-Step Methods | 解一元一次方程：一步与两步方法

Linear equations are one of the most important algebra topics in Cambridge KS3 Mathematics. You need to solve equations such as x + 5 = 12, 4x − 3 = 17 and 2(x + 1) = 10. This article explains the balance method, shows worked examples and highlights common mistakes. By the end, you will be able to solve one-step and two-step equations confidently.

一元一次方程是剑桥 KS3 数学中最重要的代数主题之一。你需要会解诸如 x + 5 = 12、4x − 3 = 17 和 2(x + 1) = 10 这样的方程。本文讲解天平法，给出详细例题，并指出常见错误。学完后，你将能自信地解一步和两步方程。

1. What is a Linear Equation? | 什么是一元一次方程？

A linear equation is an equation where the variable, usually x, has an exponent of 1. There are no terms like x², x³ or 1/x.

一元一次方程是指变量（通常为 x）的指数为 1 的方程。方程中没有 x²、x³ 或 1/x 这样的项。

For example, x + 7 = 15 and 3x − 2 = 13 are linear equations. The expression 2x² = 8 is not linear because the variable is squared.

例如，x + 7 = 15 和 3x − 2 = 13 都是一元一次方程。表达式 2x² = 8 不是一次方程，因为变量被平方。

Solving an equation means finding the value of x that makes the left-hand side equal to the right-hand side.

解方程就是求出使左边等于右边的 x 值。

In Cambridge KS3, equations usually have one solution. We write the solution as x = a number.

在剑桥 KS3 中，方程通常有一个解。我们把解写成 x = 某个数。

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