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

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

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

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

Reorder the terms:
6 + -3x = 5 + -4(1 + 2x)
6 + -3x = 5 + (1 * -4 + 2x * -4)
6 + -3x = 5 + (-4 + -8x)

Combine like terms: 5 + -4 = 1
6 + -3x = 1 + -8x

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

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

Combine like terms: -8x + 8x = 0
6 + 5x = 1 + 0
6 + 5x = 1

Add '-6' to each side of the equation.
6 + -6 + 5x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 1 + -6
5x = 1 + -6

Combine like terms: 1 + -6 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1