3+7(x-7)=4-6(x-9)

Solution for 3+7(x-7)=4-6(x-9) equation:

Simplifying
3 + 7(x + -7) = 4 + -6(x + -9)

Reorder the terms:
3 + 7(-7 + x) = 4 + -6(x + -9)
3 + (-7 * 7 + x * 7) = 4 + -6(x + -9)
3 + (-49 + 7x) = 4 + -6(x + -9)

Combine like terms: 3 + -49 = -46
-46 + 7x = 4 + -6(x + -9)

Reorder the terms:
-46 + 7x = 4 + -6(-9 + x)
-46 + 7x = 4 + (-9 * -6 + x * -6)
-46 + 7x = 4 + (54 + -6x)

Combine like terms: 4 + 54 = 58
-46 + 7x = 58 + -6x

Solving
-46 + 7x = 58 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-46 + 7x + 6x = 58 + -6x + 6x

Combine like terms: 7x + 6x = 13x
-46 + 13x = 58 + -6x + 6x

Combine like terms: -6x + 6x = 0
-46 + 13x = 58 + 0
-46 + 13x = 58

Add '46' to each side of the equation.
-46 + 46 + 13x = 58 + 46

Combine like terms: -46 + 46 = 0
0 + 13x = 58 + 46
13x = 58 + 46

Combine like terms: 58 + 46 = 104
13x = 104

Divide each side by '13'.
x = 8

Simplifying
x = 8