# 5(3x-9)-2=5(x-2)+13

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## Solution for 5(3x-9)-2=5(x-2)+13 equation:

Simplifying
5(3x + -9) + -2 = 5(x + -2) + 13
Reorder the terms:
5(-9 + 3x) + -2 = 5(x + -2) + 13
(-9 * 5 + 3x * 5) + -2 = 5(x + -2) + 13
(-45 + 15x) + -2 = 5(x + -2) + 13
Reorder the terms:
-45 + -2 + 15x = 5(x + -2) + 13
Combine like terms: -45 + -2 = -47
-47 + 15x = 5(x + -2) + 13
Reorder the terms:
-47 + 15x = 5(-2 + x) + 13
-47 + 15x = (-2 * 5 + x * 5) + 13
-47 + 15x = (-10 + 5x) + 13
Reorder the terms:
-47 + 15x = -10 + 13 + 5x
Combine like terms: -10 + 13 = 3
-47 + 15x = 3 + 5x
Solving
-47 + 15x = 3 + 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.
-47 + 15x + -5x = 3 + 5x + -5x
Combine like terms: 15x + -5x = 10x
-47 + 10x = 3 + 5x + -5x
Combine like terms: 5x + -5x = 0
-47 + 10x = 3 + 0
-47 + 10x = 3
Add '47' to each side of the equation.
-47 + 47 + 10x = 3 + 47
Combine like terms: -47 + 47 = 0
0 + 10x = 3 + 47
10x = 3 + 47
Combine like terms: 3 + 47 = 50
10x = 50
Divide each side by '10'.
x = 5
Simplifying
x = 5`