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
2x - 4 = x + 8 + 2x

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

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

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Step1: Combine like terms

$2x -4 = 3x +8$

Step2: Subtract $2x$

$2x -4 -2x = 3x +8 -2x$
$-4 = x +8$

Step3: Subtract 8

$-4 -8 = x +8 -8$
$x=-12$

Answer:

1. $x=15$
2. $x=10$
3. $x=-12$