What is 3(x+2)-10=4x-6+x
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1=x or x=1

Step-by-step explanation:

3(x+2)-10=4x-6+x

distribute

3x+6-10=4x-6+x

combine like terms

3x-4=5x-6

subtract 3x from each side

-4=2x-6

add 6 to both sides

2=2x

divide by 2

1=x or x=1

If you wanted to simplify the equation.

3x - 4 = 5x - 6

If you wanted to solve for x.

x = 1

Step-by-step explanation:

3(x+2)-10=4x-6+x

3x + 6 - 10 = 4x-6+x

3x - 4 = 4x - 6 + x

3x - 4 = 5x - 6

If you wanted to simplify the equation this is it. If you wanted to solve for x, continue reading.

Add 4 to both sides of the equation.

3x - 4 + 4 = 5x - 6 + 4

Simplify.

3x = 5x - 6 + 4

3x = 5x - 2

Subtract 5x from both sides of the equation.

3x - 5x = 5x - 5x - 2

Simplify.

-2x = 5x - 5x - 2

-2x = -2

Divide both sides of the equation by the same term.

(-2x/2) = (-2/2)

Cancel terms that are in both the numerator and denominator.

x = (-2/-2)

Divide the numbers.

x = 1

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.