5(3x-9)-2=5(x-5)+48

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Solution for 5(3x-9)-2=5(x-5)+48 equation:


Simplifying
5(3x + -9) + -2 = 5(x + -5) + 48

Reorder the terms:
5(-9 + 3x) + -2 = 5(x + -5) + 48
(-9 * 5 + 3x * 5) + -2 = 5(x + -5) + 48
(-45 + 15x) + -2 = 5(x + -5) + 48

Reorder the terms:
-45 + -2 + 15x = 5(x + -5) + 48

Combine like terms: -45 + -2 = -47
-47 + 15x = 5(x + -5) + 48

Reorder the terms:
-47 + 15x = 5(-5 + x) + 48
-47 + 15x = (-5 * 5 + x * 5) + 48
-47 + 15x = (-25 + 5x) + 48

Reorder the terms:
-47 + 15x = -25 + 48 + 5x

Combine like terms: -25 + 48 = 23
-47 + 15x = 23 + 5x

Solving
-47 + 15x = 23 + 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 = 23 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-47 + 10x = 23 + 5x + -5x

Combine like terms: 5x + -5x = 0
-47 + 10x = 23 + 0
-47 + 10x = 23

Add '47' to each side of the equation.
-47 + 47 + 10x = 23 + 47

Combine like terms: -47 + 47 = 0
0 + 10x = 23 + 47
10x = 23 + 47

Combine like terms: 23 + 47 = 70
10x = 70

Divide each side by '10'.
x = 7

Simplifying
x = 7

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