5(3x-9)-2=5(x-3)+28

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Solution for 5(3x-9)-2=5(x-3)+28 equation:


Simplifying
5(3x + -9) + -2 = 5(x + -3) + 28

Reorder the terms:
5(-9 + 3x) + -2 = 5(x + -3) + 28
(-9 * 5 + 3x * 5) + -2 = 5(x + -3) + 28
(-45 + 15x) + -2 = 5(x + -3) + 28

Reorder the terms:
-45 + -2 + 15x = 5(x + -3) + 28

Combine like terms: -45 + -2 = -47
-47 + 15x = 5(x + -3) + 28

Reorder the terms:
-47 + 15x = 5(-3 + x) + 28
-47 + 15x = (-3 * 5 + x * 5) + 28
-47 + 15x = (-15 + 5x) + 28

Reorder the terms:
-47 + 15x = -15 + 28 + 5x

Combine like terms: -15 + 28 = 13
-47 + 15x = 13 + 5x

Solving
-47 + 15x = 13 + 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 = 13 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-47 + 10x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-47 + 10x = 13 + 0
-47 + 10x = 13

Add '47' to each side of the equation.
-47 + 47 + 10x = 13 + 47

Combine like terms: -47 + 47 = 0
0 + 10x = 13 + 47
10x = 13 + 47

Combine like terms: 13 + 47 = 60
10x = 60

Divide each side by '10'.
x = 6

Simplifying
x = 6

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