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

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

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

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

Reorder the terms:
-20 + 4x + 3(-4 + x) = 3(x + 6) + 2
-20 + 4x + (-4 * 3 + x * 3) = 3(x + 6) + 2
-20 + 4x + (-12 + 3x) = 3(x + 6) + 2

Reorder the terms:
-20 + -12 + 4x + 3x = 3(x + 6) + 2

Combine like terms: -20 + -12 = -32
-32 + 4x + 3x = 3(x + 6) + 2

Combine like terms: 4x + 3x = 7x
-32 + 7x = 3(x + 6) + 2

Reorder the terms:
-32 + 7x = 3(6 + x) + 2
-32 + 7x = (6 * 3 + x * 3) + 2
-32 + 7x = (18 + 3x) + 2

Reorder the terms:
-32 + 7x = 18 + 2 + 3x

Combine like terms: 18 + 2 = 20
-32 + 7x = 20 + 3x

Solving
-32 + 7x = 20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-32 + 7x + -3x = 20 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-32 + 4x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-32 + 4x = 20 + 0
-32 + 4x = 20

Add '32' to each side of the equation.
-32 + 32 + 4x = 20 + 32

Combine like terms: -32 + 32 = 0
0 + 4x = 20 + 32
4x = 20 + 32

Combine like terms: 20 + 32 = 52
4x = 52

Divide each side by '4'.
x = 13

Simplifying
x = 13