8(x-4)+3(x-2)=5(6+7)

Solution for 8(x-4)+3(x-2)=5(6+7) equation:

Simplifying
8(x + -4) + 3(x + -2) = 5(6 + 7)

Reorder the terms:
8(-4 + x) + 3(x + -2) = 5(6 + 7)
(-4 * 8 + x * 8) + 3(x + -2) = 5(6 + 7)
(-32 + 8x) + 3(x + -2) = 5(6 + 7)

Reorder the terms:
-32 + 8x + 3(-2 + x) = 5(6 + 7)
-32 + 8x + (-2 * 3 + x * 3) = 5(6 + 7)
-32 + 8x + (-6 + 3x) = 5(6 + 7)

Reorder the terms:
-32 + -6 + 8x + 3x = 5(6 + 7)

Combine like terms: -32 + -6 = -38
-38 + 8x + 3x = 5(6 + 7)

Combine like terms: 8x + 3x = 11x
-38 + 11x = 5(6 + 7)

Combine like terms: 6 + 7 = 13
-38 + 11x = 5(13)

Multiply 5 * 13
-38 + 11x = 65

Solving
-38 + 11x = 65

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 11x = 65 + 38

Combine like terms: -38 + 38 = 0
0 + 11x = 65 + 38
11x = 65 + 38

Combine like terms: 65 + 38 = 103
11x = 103

Divide each side by '11'.
x = 9.363636364

Simplifying
x = 9.363636364