Question

solve the following four problems for x.
3 fill in the blank 1 point
-5x + 13 = -4x - 2
note: enter negatives when necessary with no space between the negative sign and the number.
x = type your answer...
4 fill in the blank 1 point
2x + x - 4 = 6 + 3x - x
note: enter negatives when necessary with no space between the negative sign and the number.
x = type your answer...
5 fill in the blank 1 point

Explanation:

Step1: Add $5x$ to both sides

$$-5x + 13 +5x = -4x -2 +5x$$
$$13 = x -2$$

Step2: Add 2 to both sides

$$13 +2 = x -2 +2$$
$$15 = x$$

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Step1: Combine like terms

$$3x -4 = 6 +2x$$

Step2: Subtract $2x$

$$3x -4 -2x = 6 +2x -2x$$
$$x -4 =6$$

Step3: Add 4 to both sides

$$x -4 +4 =6 +4$$
$$x=10$$

Answer:

1. $x=15$
2. $x=10$