9+3(x-5)=4-3(x-7)

Solution for 9+3(x-5)=4-3(x-7) equation:

Simplifying
9 + 3(x + -5) = 4 + -3(x + -7)

Reorder the terms:
9 + 3(-5 + x) = 4 + -3(x + -7)
9 + (-5 * 3 + x * 3) = 4 + -3(x + -7)
9 + (-15 + 3x) = 4 + -3(x + -7)

Combine like terms: 9 + -15 = -6
-6 + 3x = 4 + -3(x + -7)

Reorder the terms:
-6 + 3x = 4 + -3(-7 + x)
-6 + 3x = 4 + (-7 * -3 + x * -3)
-6 + 3x = 4 + (21 + -3x)

Combine like terms: 4 + 21 = 25
-6 + 3x = 25 + -3x

Solving
-6 + 3x = 25 + -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.
-6 + 3x + 3x = 25 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-6 + 6x = 25 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 6x = 25 + 0
-6 + 6x = 25

Add '6' to each side of the equation.
-6 + 6 + 6x = 25 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 25 + 6
6x = 25 + 6

Combine like terms: 25 + 6 = 31
6x = 31

Divide each side by '6'.
x = 5.166666667

Simplifying
x = 5.166666667