6+3(x-3)=3-7(x-6)

Solution for 6+3(x-3)=3-7(x-6) equation:

Simplifying
6 + 3(x + -3) = 3 + -7(x + -6)

Reorder the terms:
6 + 3(-3 + x) = 3 + -7(x + -6)
6 + (-3 * 3 + x * 3) = 3 + -7(x + -6)
6 + (-9 + 3x) = 3 + -7(x + -6)

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

Reorder the terms:
-3 + 3x = 3 + -7(-6 + x)
-3 + 3x = 3 + (-6 * -7 + x * -7)
-3 + 3x = 3 + (42 + -7x)

Combine like terms: 3 + 42 = 45
-3 + 3x = 45 + -7x

Solving
-3 + 3x = 45 + -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.
-3 + 3x + 7x = 45 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-3 + 10x = 45 + -7x + 7x

Combine like terms: -7x + 7x = 0
-3 + 10x = 45 + 0
-3 + 10x = 45

Add '3' to each side of the equation.
-3 + 3 + 10x = 45 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 45 + 3
10x = 45 + 3

Combine like terms: 45 + 3 = 48
10x = 48

Divide each side by '10'.
x = 4.8

Simplifying
x = 4.8