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

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

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

Reorder the terms:
4(-3 + x) + 3(x + 2) = 2(4r + -5) + -1(x + -4)
(-3 * 4 + x * 4) + 3(x + 2) = 2(4r + -5) + -1(x + -4)
(-12 + 4x) + 3(x + 2) = 2(4r + -5) + -1(x + -4)

Reorder the terms:
-12 + 4x + 3(2 + x) = 2(4r + -5) + -1(x + -4)
-12 + 4x + (2 * 3 + x * 3) = 2(4r + -5) + -1(x + -4)
-12 + 4x + (6 + 3x) = 2(4r + -5) + -1(x + -4)

Reorder the terms:
-12 + 6 + 4x + 3x = 2(4r + -5) + -1(x + -4)

Combine like terms: -12 + 6 = -6
-6 + 4x + 3x = 2(4r + -5) + -1(x + -4)

Combine like terms: 4x + 3x = 7x
-6 + 7x = 2(4r + -5) + -1(x + -4)

Reorder the terms:
-6 + 7x = 2(-5 + 4r) + -1(x + -4)
-6 + 7x = (-5 * 2 + 4r * 2) + -1(x + -4)
-6 + 7x = (-10 + 8r) + -1(x + -4)

Reorder the terms:
-6 + 7x = -10 + 8r + -1(-4 + x)
-6 + 7x = -10 + 8r + (-4 * -1 + x * -1)
-6 + 7x = -10 + 8r + (4 + -1x)

Reorder the terms:
-6 + 7x = -10 + 4 + 8r + -1x

Combine like terms: -10 + 4 = -6
-6 + 7x = -6 + 8r + -1x

Add '6' to each side of the equation.
-6 + 6 + 7x = -6 + 8r + 6 + -1x

Combine like terms: -6 + 6 = 0
0 + 7x = -6 + 8r + 6 + -1x
7x = -6 + 8r + 6 + -1x

Reorder the terms:
7x = -6 + 6 + 8r + -1x

Combine like terms: -6 + 6 = 0
7x = 0 + 8r + -1x
7x = 8r + -1x

Solving
7x = 8r + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7x + x = 8r + -1x + x

Combine like terms: 7x + x = 8x
8x = 8r + -1x + x

Combine like terms: -1x + x = 0
8x = 8r + 0
8x = 8r

Divide each side by '8'.
x = r

Simplifying
x = r