5+3(x-1)=10-9(x-6)

Solution for 5+3(x-1)=10-9(x-6) equation:

Simplifying
5 + 3(x + -1) = 10 + -9(x + -6)

Reorder the terms:
5 + 3(-1 + x) = 10 + -9(x + -6)
5 + (-1 * 3 + x * 3) = 10 + -9(x + -6)
5 + (-3 + 3x) = 10 + -9(x + -6)

Combine like terms: 5 + -3 = 2
2 + 3x = 10 + -9(x + -6)

Reorder the terms:
2 + 3x = 10 + -9(-6 + x)
2 + 3x = 10 + (-6 * -9 + x * -9)
2 + 3x = 10 + (54 + -9x)

Combine like terms: 10 + 54 = 64
2 + 3x = 64 + -9x

Solving
2 + 3x = 64 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
2 + 3x + 9x = 64 + -9x + 9x

Combine like terms: 3x + 9x = 12x
2 + 12x = 64 + -9x + 9x

Combine like terms: -9x + 9x = 0
2 + 12x = 64 + 0
2 + 12x = 64

Add '-2' to each side of the equation.
2 + -2 + 12x = 64 + -2

Combine like terms: 2 + -2 = 0
0 + 12x = 64 + -2
12x = 64 + -2

Combine like terms: 64 + -2 = 62
12x = 62

Divide each side by '12'.
x = 5.166666667

Simplifying
x = 5.166666667