Question

Evaluate and solve for the variable and show your work please.

x – 7 = 4 + 10

12 – c = 8

–4 – 10 = 4y + 3y

–42 + 20 = –2x + 13x

Answer 1

x=21
c=4
x=-2
I have attached the worked out problems as well hope it helps!

Answer 2

x – 7 = 4 + 10 (x=21)

x−7=4+10

x+−7=4+10

x−7=(4+10)(Combine Like Terms)

x−7=14

x−7=14

Step 2: Add 7 to both sides.

x−7+7=14+7

x=21

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12−c=8 (c=4)

12+−c=8

−c+12=8

Step 2: Subtract 12 from both sides.

−c+12−12=8−12

−c=−4

Step 3: Divide both sides by -1.

−c

−1

=

−4

−1

c=4

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−4−10=4y+3y (y=−2)

−4+−10=4y+3y

(−4+−10)=(4y+3y)(Combine Like Terms)

−14=7y

−14=7y

Step 2: Flip the equation.

7y=−14

Step 3: Divide both sides by 7.

7y

7

=

−14

7

y=−2

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-42=20=-2=13x (x=−2

Simplifying

-42 + 20 = 2x + 13x

Combine like terms: -42 + 20 = -22

-22 = 2x + 13x

Combine like terms: 2x + 13x = 15x

-22 = 15x

Solving

-22 = 15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15x' to each side of the equation.

-22 + -15x = 15x + -15x

Combine like terms: 15x + -15x = 0

-22 + -15x = 0

Add '22' to each side of the equation.

-22 + 22 + -15x = 0 + 22

Combine like terms: -22 + 22 = 0

0 + -15x = 0 + 22

-15x = 0 + 22

Combine like terms: 0 + 22 = 22

-15x = 22

Divide each side by '-15'.

x = -1.466666667

Simplifying

x = -1.466666667