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

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

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

Reorder the terms:
2(-2 + x) + -3(5 + -1x) = 4(2x + 1)
(-2 * 2 + x * 2) + -3(5 + -1x) = 4(2x + 1)
(-4 + 2x) + -3(5 + -1x) = 4(2x + 1)
-4 + 2x + (5 * -3 + -1x * -3) = 4(2x + 1)
-4 + 2x + (-15 + 3x) = 4(2x + 1)

Reorder the terms:
-4 + -15 + 2x + 3x = 4(2x + 1)

Combine like terms: -4 + -15 = -19
-19 + 2x + 3x = 4(2x + 1)

Combine like terms: 2x + 3x = 5x
-19 + 5x = 4(2x + 1)

Reorder the terms:
-19 + 5x = 4(1 + 2x)
-19 + 5x = (1 * 4 + 2x * 4)
-19 + 5x = (4 + 8x)

Solving
-19 + 5x = 4 + 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.
-19 + 5x + -8x = 4 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-19 + -3x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-19 + -3x = 4 + 0
-19 + -3x = 4

Add '19' to each side of the equation.
-19 + 19 + -3x = 4 + 19

Combine like terms: -19 + 19 = 0
0 + -3x = 4 + 19
-3x = 4 + 19

Combine like terms: 4 + 19 = 23
-3x = 23

Divide each side by '-3'.
x = -7.666666667

Simplifying
x = -7.666666667