How many solutions does the equation 3 (x+2) - 10=4x-6+x have?

Answer: The answer is 1

Step-by-step explanation:

Simplifying

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

Reorder the terms:

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

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

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

Reorder the terms:

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

Combine like terms: 6 + - 10 = - 4

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

Reorder the terms:

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

Combine like terms: 4x + x = 5x

-4 + 3x = - 6 + 5x

Solving

-4 + 3x = - 6 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

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

Combine like terms: 3x + - 5x = - 2x

-4 + - 2x = - 6 + 5x + - 5x

Combine like terms: 5x + - 5x = 0

-4 + - 2x = - 6 + 0

-4 + - 2x = - 6

Add '4' to each side of the equation.

-4 + 4 + - 2x = - 6 + 4

Combine like terms: - 4 + 4 = 0

0 + - 2x = - 6 + 4

-2x = - 6 + 4

Combine like terms: - 6 + 4 = - 2

-2x = - 2

Divide each side by '-2'.

x = 1

Simplifying

x = 1

x=1

Step-by-step explanation:

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

3x+6-10=5x-6

3x-5x-4=-6

-2x-4=-6

-2x=-6+4

-2x=-2

2x=2

x=2/2

x=1