How do you check 2x+5-3 (2x-7) = 2 (3x-5) - 4

Mplifying

2x + 5 + - 3 (2x + - 7) = 2 (3x + - 5) + - 4

Reorder the terms:

2x + 5 + - 3 (-7 + 2x) = 2 (3x + - 5) + - 4

2x + 5 + (-7 * - 3 + 2x * - 3) = 2 (3x + - 5) + - 4

2x + 5 + (21 + - 6x) = 2 (3x + - 5) + - 4

Reorder the terms:

5 + 21 + 2x + - 6x = 2 (3x + - 5) + - 4

Combine like terms: 5 + 21 = 26

26 + 2x + - 6x = 2 (3x + - 5) + - 4

Combine like terms: 2x + - 6x = - 4x

26 + - 4x = 2 (3x + - 5) + - 4

Reorder the terms:

26 + - 4x = 2 (-5 + 3x) + - 4

26 + - 4x = (-5 * 2 + 3x * 2) + - 4

26 + - 4x = (-10 + 6x) + - 4

Reorder the terms:

26 + - 4x = - 10 + - 4 + 6x

Combine like terms: - 10 + - 4 = - 14

26 + - 4x = - 14 + 6x

Solving

26 + - 4x = - 14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.

26 + - 4x + - 6x = - 14 + 6x + - 6x

Combine like terms: - 4x + - 6x = - 10x

26 + - 10x = - 14 + 6x + - 6x

Combine like terms: 6x + - 6x = 0

26 + - 10x = - 14 + 0

26 + - 10x = - 14

Add '-26' to each side of the equation.

26 + - 26 + - 10x = - 14 + - 26

Combine like terms: 26 + - 26 = 0

0 + - 10x = - 14 + - 26

-10x = - 14 + - 26

Combine like terms: - 14 + - 26 = - 40

-10x = - 40

Divide each side by '-10'.

x = 4

Simplifying

x = 4