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

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

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

Reorder the terms:
4(-3 + x) + -1(x + 2) = 3 + -2(x + -4)
(-3 * 4 + x * 4) + -1(x + 2) = 3 + -2(x + -4)
(-12 + 4x) + -1(x + 2) = 3 + -2(x + -4)

Reorder the terms:
-12 + 4x + -1(2 + x) = 3 + -2(x + -4)
-12 + 4x + (2 * -1 + x * -1) = 3 + -2(x + -4)
-12 + 4x + (-2 + -1x) = 3 + -2(x + -4)

Reorder the terms:
-12 + -2 + 4x + -1x = 3 + -2(x + -4)

Combine like terms: -12 + -2 = -14
-14 + 4x + -1x = 3 + -2(x + -4)

Combine like terms: 4x + -1x = 3x
-14 + 3x = 3 + -2(x + -4)

Reorder the terms:
-14 + 3x = 3 + -2(-4 + x)
-14 + 3x = 3 + (-4 * -2 + x * -2)
-14 + 3x = 3 + (8 + -2x)

Combine like terms: 3 + 8 = 11
-14 + 3x = 11 + -2x

Solving
-14 + 3x = 11 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-14 + 3x + 2x = 11 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-14 + 5x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + 5x = 11 + 0
-14 + 5x = 11

Add '14' to each side of the equation.
-14 + 14 + 5x = 11 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 11 + 14
5x = 11 + 14

Combine like terms: 11 + 14 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5