3x+9-2(x+5)=4x-2(3-x)

Solution for 3x+9-2(x+5)=4x-2(3-x) equation:

Simplifying
3x + 9 + -2(x + 5) = 4x + -2(3 + -1x)

Reorder the terms:
3x + 9 + -2(5 + x) = 4x + -2(3 + -1x)
3x + 9 + (5 * -2 + x * -2) = 4x + -2(3 + -1x)
3x + 9 + (-10 + -2x) = 4x + -2(3 + -1x)

Reorder the terms:
9 + -10 + 3x + -2x = 4x + -2(3 + -1x)

Combine like terms: 9 + -10 = -1
-1 + 3x + -2x = 4x + -2(3 + -1x)

Combine like terms: 3x + -2x = 1x
-1 + 1x = 4x + -2(3 + -1x)
-1 + 1x = 4x + (3 * -2 + -1x * -2)
-1 + 1x = 4x + (-6 + 2x)

Reorder the terms:
-1 + 1x = -6 + 4x + 2x

Combine like terms: 4x + 2x = 6x
-1 + 1x = -6 + 6x

Solving
-1 + 1x = -6 + 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.
-1 + 1x + -6x = -6 + 6x + -6x

Combine like terms: 1x + -6x = -5x
-1 + -5x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -5x = -6 + 0
-1 + -5x = -6

Add '1' to each side of the equation.
-1 + 1 + -5x = -6 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = -6 + 1
-5x = -6 + 1

Combine like terms: -6 + 1 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1