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

Solution for 3(x+4)-2(x-5)=x(2+7) equation:

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

Reorder the terms:
3(4 + x) + -2(x + -5) = x(2 + 7)
(4 * 3 + x * 3) + -2(x + -5) = x(2 + 7)
(12 + 3x) + -2(x + -5) = x(2 + 7)

Reorder the terms:
12 + 3x + -2(-5 + x) = x(2 + 7)
12 + 3x + (-5 * -2 + x * -2) = x(2 + 7)
12 + 3x + (10 + -2x) = x(2 + 7)

Reorder the terms:
12 + 10 + 3x + -2x = x(2 + 7)

Combine like terms: 12 + 10 = 22
22 + 3x + -2x = x(2 + 7)

Combine like terms: 3x + -2x = 1x
22 + 1x = x(2 + 7)

Combine like terms: 2 + 7 = 9
22 + 1x = x(9)

Reorder the terms for easier multiplication:
22 + 1x = 9x

Solving
22 + 1x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
22 + 1x + -9x = 9x + -9x

Combine like terms: 1x + -9x = -8x
22 + -8x = 9x + -9x

Combine like terms: 9x + -9x = 0
22 + -8x = 0

Add '-22' to each side of the equation.
22 + -22 + -8x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = 0 + -22
-8x = 0 + -22

Combine like terms: 0 + -22 = -22
-8x = -22

Divide each side by '-8'.
x = 2.75

Simplifying
x = 2.75