5x-3x (26x-7x-28x) systems of equation

Simplifying

5x + 2 (8x + - 9) = 3 (x + 4) + - 5 (2x + 7)

Reorder the terms:

5x + 2 (-9 + 8x) = 3 (x + 4) + - 5 (2x + 7)

5x + (-9 * 2 + 8x * 2) = 3 (x + 4) + - 5 (2x + 7)

5x + (-18 + 16x) = 3 (x + 4) + - 5 (2x + 7)

Reorder the terms:

-18 + 5x + 16x = 3 (x + 4) + - 5 (2x + 7)

Combine like terms: 5x + 16x = 21x

-18 + 21x = 3 (x + 4) + - 5 (2x + 7)

Reorder the terms:

-18 + 21x = 3 (4 + x) + - 5 (2x + 7)

-18 + 21x = (4 * 3 + x * 3) + - 5 (2x + 7)

-18 + 21x = (12 + 3x) + - 5 (2x + 7)

Reorder the terms:

-18 + 21x = 12 + 3x + - 5 (7 + 2x)

-18 + 21x = 12 + 3x + (7 * - 5 + 2x * - 5)

-18 + 21x = 12 + 3x + (-35 + - 10x)

Reorder the terms:

-18 + 21x = 12 + - 35 + 3x + - 10x

Combine like terms: 12 + - 35 = - 23

-18 + 21x = - 23 + 3x + - 10x

Combine like terms: 3x + - 10x = - 7x

-18 + 21x = - 23 + - 7x

Solving

-18 + 21x = - 23 + - 7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.

-18 + 21x + 7x = - 23 + - 7x + 7x

Combine like terms: 21x + 7x = 28x

-18 + 28x = - 23 + - 7x + 7x

Combine like terms: - 7x + 7x = 0

-18 + 28x = - 23 + 0

-18 + 28x = - 23

Add '18' to each side of the equation.

-18 + 18 + 28x = - 23 + 18

Combine like terms: - 18 + 18 = 0

0 + 28x = - 23 + 18

28x = - 23 + 18

Combine like terms: - 23 + 18 = - 5

28x = - 5

Divide each side by '28'.

x = - 0.1785714286

Simplifying

x = - 0.1785714286