6(x-4)-(9-2x)=3(x+2)-4(5-x)

Solution for 6(x-4)-(9-2x)=3(x+2)-4(5-x) equation:

Simplifying
6(x + -4) + -1(9 + -2x) = 3(x + 2) + -4(5 + -1x)

Reorder the terms:
6(-4 + x) + -1(9 + -2x) = 3(x + 2) + -4(5 + -1x)
(-4 * 6 + x * 6) + -1(9 + -2x) = 3(x + 2) + -4(5 + -1x)
(-24 + 6x) + -1(9 + -2x) = 3(x + 2) + -4(5 + -1x)
-24 + 6x + (9 * -1 + -2x * -1) = 3(x + 2) + -4(5 + -1x)
-24 + 6x + (-9 + 2x) = 3(x + 2) + -4(5 + -1x)

Reorder the terms:
-24 + -9 + 6x + 2x = 3(x + 2) + -4(5 + -1x)

Combine like terms: -24 + -9 = -33
-33 + 6x + 2x = 3(x + 2) + -4(5 + -1x)

Combine like terms: 6x + 2x = 8x
-33 + 8x = 3(x + 2) + -4(5 + -1x)

Reorder the terms:
-33 + 8x = 3(2 + x) + -4(5 + -1x)
-33 + 8x = (2 * 3 + x * 3) + -4(5 + -1x)
-33 + 8x = (6 + 3x) + -4(5 + -1x)
-33 + 8x = 6 + 3x + (5 * -4 + -1x * -4)
-33 + 8x = 6 + 3x + (-20 + 4x)

Reorder the terms:
-33 + 8x = 6 + -20 + 3x + 4x

Combine like terms: 6 + -20 = -14
-33 + 8x = -14 + 3x + 4x

Combine like terms: 3x + 4x = 7x
-33 + 8x = -14 + 7x

Solving
-33 + 8x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-33 + 8x + -7x = -14 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-33 + 1x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-33 + 1x = -14 + 0
-33 + 1x = -14

Add '33' to each side of the equation.
-33 + 33 + 1x = -14 + 33

Combine like terms: -33 + 33 = 0
0 + 1x = -14 + 33
1x = -14 + 33

Combine like terms: -14 + 33 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19