10 (x+3) - (-9x-4) = x-5 + 3

Step-by-step explanation:

10 (x+3) - (-9x-4) = x-5+3

10x+30+9x+4=x-2

10x+9x+30+4=x-2

19x+34=x-2

19x-x=-34-2

18x=-36

x=-36/18

x=-2

Step-by-step explanation:

Simplifying

10 (x + 3) + - 1 (-9x + - 4) = x + - 5 + 3

Reorder the terms:

10 (3 + x) + - 1 (-9x + - 4) = x + - 5 + 3

(3 * 10 + x * 10) + - 1 (-9x + - 4) = x + - 5 + 3

(30 + 10x) + - 1 (-9x + - 4) = x + - 5 + 3

Reorder the terms:

30 + 10x + - 1 (-4 + - 9x) = x + - 5 + 3

30 + 10x + (-4 * - 1 + - 9x * - 1) = x + - 5 + 3

30 + 10x + (4 + 9x) = x + - 5 + 3

Reorder the terms:

30 + 4 + 10x + 9x = x + - 5 + 3

Combine like terms: 30 + 4 = 34

34 + 10x + 9x = x + - 5 + 3

Combine like terms: 10x + 9x = 19x

34 + 19x = x + - 5 + 3

Reorder the terms:

34 + 19x = - 5 + 3 + x

Combine like terms: - 5 + 3 = - 2

34 + 19x = - 2 + x

Solving

34 + 19x = - 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.

34 + 19x + - 1x = - 2 + x + - 1x

Combine like terms: 19x + - 1x = 18x

34 + 18x = - 2 + x + - 1x

Combine like terms: x + - 1x = 0

34 + 18x = - 2 + 0

34 + 18x = - 2

Add '-34' to each side of the equation.

34 + - 34 + 18x = - 2 + - 34

Combine like terms: 34 + - 34 = 0

0 + 18x = - 2 + - 34

18x = - 2 + - 34

Combine like terms: - 2 + - 34 = - 36

18x = - 36

Divide each side by '18'.

x = - 2

Simplifying

x = - 2