Answer:
We can use the distributive property, and the addition, division, and symmetric properties of equality to rewrite the equation to x=23.
Step-by-step explanation:
Using the distributive property, we can expand the right side to give ...
4x +10 = 6x -36
Using the addition property of equality, we can add 36-4x to both sides of the equation:
4x +10 +36 -4x = 6x -36 +36 -4x
46 = 2x . . . the result of collecting terms
Using the division property of equality, we can divide both sides of the equation by 2:
46/2 = 2x/2
23 = x
Using the symmetric property of equality, we can rewrite this as ...
x = 23
