Step-by-step explanation:
Hey there!
The equation is;

Shifting "2x" to left side and "2" to right side.

Simplify them to get answer.

Therefore the value of x is -7.
<u>Check</u><u>;</u>
3 × -7 + 2 = 2 × -7 -5
-19 = -19 ( True ).
So, your answer is option B.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
x = -10
Step-by-step explanation:
move all the constants (numbers without variables) to one side to get
-4x = 42 - 2
-4x = 40
multiply by -1
4x = -40
divide by 4
x = -10
Answer:
DB = CA (Proved)
Step-by-step explanation:
Statement 1.
∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2
Reason 1.
Given
Statement 2.
Between Δ DBM and Δ CAM,
(i) DM = CM,
(ii) ∠D = ∠C and
(iii) ∠DMB = ∠CMA
Reason 2.
(i) given
(ii) given and
(iii) ∠ DMB = ∠1 + ∠AMB and ∠CMA = ∠2 + ∠AMB
Since ∠1 = ∠2, so, ∠DMB = ∠CMA.
Statement 3.
Δ DBM ≅ Δ CAM
Reason 3.
By angle-side-angle rule.
Statement 4.
DB = CA
Reason 4.
Corresponding sides of two congruent triangles. (Answer)