Answer:
x = 3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(x−3)+2x+21=3(x+4)+2x
(5)(x)+(5)(−3)+2x+21=(3)(x)+(3)(4)+2x(Distribute)
5x+−15+2x+21=3x+12+2x
(5x+2x)+(−15+21)=(3x+2x)+(12)(Combine Like Terms)
7x+6=5x+12
7x+6=5x+12
Step 2: Subtract 5x from both sides.
7x+6−5x=5x+12−5x
2x+6=12
Step 3: Subtract 6 from both sides.
2x+6−6=12−6
2x=6
Step 4: Divide both sides by 2.
Hope this helps!
=)
1) given
2) definition of linear pair
3) definition of linear pair and supplementary
4) definition of supplementary supplementary angles add to 180
5) the measure of angle one plus the measure of angle 2 plus the measure of angle 3 equals 180
6) substitution in lines 4 and 5
7) the measure of angle one plus the measure of angle 2 equals measure of angle 4 by algebra and simplification
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Answer:
x = -19
Step-by-step explanation:

Multiply both sides of the equation by -9.

x - 26 = -45
Add 26 to both sides.
x - 26 + 26 = -45 + 26
x = -19