2(x-1)+2(3-1)=5(x-9)

Solution for 2(x-1)+2(3-1)=5(x-9) equation:

Simplifying
2(x + -1) + 2(3 + -1) = 5(x + -9)

Reorder the terms:
2(-1 + x) + 2(3 + -1) = 5(x + -9)
(-1 * 2 + x * 2) + 2(3 + -1) = 5(x + -9)
(-2 + 2x) + 2(3 + -1) = 5(x + -9)

Combine like terms: 3 + -1 = 2
-2 + 2x + 2(2) = 5(x + -9)

Multiply 2 * 2
-2 + 2x + 4 = 5(x + -9)

Reorder the terms:
-2 + 4 + 2x = 5(x + -9)

Combine like terms: -2 + 4 = 2
2 + 2x = 5(x + -9)

Reorder the terms:
2 + 2x = 5(-9 + x)
2 + 2x = (-9 * 5 + x * 5)
2 + 2x = (-45 + 5x)

Solving
2 + 2x = -45 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 2x + -5x = -45 + 5x + -5x

Combine like terms: 2x + -5x = -3x
2 + -3x = -45 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -3x = -45 + 0
2 + -3x = -45

Add '-2' to each side of the equation.
2 + -2 + -3x = -45 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -45 + -2
-3x = -45 + -2

Combine like terms: -45 + -2 = -47
-3x = -47

Divide each side by '-3'.
x = 15.66666667

Simplifying
x = 15.66666667