2x-3(x+2)=2(4x-1)+5

Solution for 2x-3(x+2)=2(4x-1)+5 equation:

Simplifying
2x + -3(x + 2) = 2(4x + -1) + 5

Reorder the terms:
2x + -3(2 + x) = 2(4x + -1) + 5
2x + (2 * -3 + x * -3) = 2(4x + -1) + 5
2x + (-6 + -3x) = 2(4x + -1) + 5

Reorder the terms:
-6 + 2x + -3x = 2(4x + -1) + 5

Combine like terms: 2x + -3x = -1x
-6 + -1x = 2(4x + -1) + 5

Reorder the terms:
-6 + -1x = 2(-1 + 4x) + 5
-6 + -1x = (-1 * 2 + 4x * 2) + 5
-6 + -1x = (-2 + 8x) + 5

Reorder the terms:
-6 + -1x = -2 + 5 + 8x

Combine like terms: -2 + 5 = 3
-6 + -1x = 3 + 8x

Solving
-6 + -1x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + -1x + -8x = 3 + 8x + -8x

Combine like terms: -1x + -8x = -9x
-6 + -9x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -9x = 3 + 0
-6 + -9x = 3

Add '6' to each side of the equation.
-6 + 6 + -9x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -9x = 3 + 6
-9x = 3 + 6

Combine like terms: 3 + 6 = 9
-9x = 9

Divide each side by '-9'.
x = -1

Simplifying
x = -1