The problem asks us to simplify expressions by combining like terms. The expressions are: 1. $5x - 3x$

AlgebraAlgebraic ExpressionsSimplificationCombining Like TermsLinear Expressions
2025/4/8

1. Problem Description

The problem asks us to simplify expressions by combining like terms. The expressions are:

1. $5x - 3x$

2. $-8x - 10x$

3. $x + 14x$

4. $20x - (-7x)$

2. Solution Steps

1. For $5x - 3x$, we subtract the coefficients of $x$:

5x3x=(53)x=2x5x - 3x = (5-3)x = 2x

2. For $-8x - 10x$, we subtract the coefficients of $x$:

8x10x=(810)x=18x-8x - 10x = (-8 - 10)x = -18x

3. For $x + 14x$, we add the coefficients of $x$. Remember that $x$ is the same as $1x$:

x+14x=1x+14x=(1+14)x=15xx + 14x = 1x + 14x = (1 + 14)x = 15x

4. For $20x - (-7x)$, we remember that subtracting a negative is the same as adding:

20x(7x)=20x+7x=(20+7)x=27x20x - (-7x) = 20x + 7x = (20+7)x = 27x

3. Final Answer

1. $2x$

2. $-18x$

3. $15x$

4. $27x$