3-7(1-2x)=5-(x-9)

Solution for 3-7(1-2x)=5-(x-9) equation:

Simplifying
3 + -7(1 + -2x) = 5 + -1(x + -9)
3 + (1 * -7 + -2x * -7) = 5 + -1(x + -9)
3 + (-7 + 14x) = 5 + -1(x + -9)

Combine like terms: 3 + -7 = -4
-4 + 14x = 5 + -1(x + -9)

Reorder the terms:
-4 + 14x = 5 + -1(-9 + x)
-4 + 14x = 5 + (-9 * -1 + x * -1)
-4 + 14x = 5 + (9 + -1x)

Combine like terms: 5 + 9 = 14
-4 + 14x = 14 + -1x

Solving
-4 + 14x = 14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4 + 14x + x = 14 + -1x + x

Combine like terms: 14x + x = 15x
-4 + 15x = 14 + -1x + x

Combine like terms: -1x + x = 0
-4 + 15x = 14 + 0
-4 + 15x = 14

Add '4' to each side of the equation.
-4 + 4 + 15x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 15x = 14 + 4
15x = 14 + 4

Combine like terms: 14 + 4 = 18
15x = 18

Divide each side by '15'.
x = 1.2

Simplifying
x = 1.2