Question

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

If you wanted to simplify the equation.

3x - 4 = 5x - 6

If you wanted to solve for x.

x = 1

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

Answer 2

1=x or x=1

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