5(3x-8)-3=5(x-3)-8

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Solution for 5(3x-8)-3=5(x-3)-8 equation:


Simplifying
5(3x + -8) + -3 = 5(x + -3) + -8

Reorder the terms:
5(-8 + 3x) + -3 = 5(x + -3) + -8
(-8 * 5 + 3x * 5) + -3 = 5(x + -3) + -8
(-40 + 15x) + -3 = 5(x + -3) + -8

Reorder the terms:
-40 + -3 + 15x = 5(x + -3) + -8

Combine like terms: -40 + -3 = -43
-43 + 15x = 5(x + -3) + -8

Reorder the terms:
-43 + 15x = 5(-3 + x) + -8
-43 + 15x = (-3 * 5 + x * 5) + -8
-43 + 15x = (-15 + 5x) + -8

Reorder the terms:
-43 + 15x = -15 + -8 + 5x

Combine like terms: -15 + -8 = -23
-43 + 15x = -23 + 5x

Solving
-43 + 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.
-43 + 15x + -5x = -23 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-43 + 10x = -23 + 5x + -5x

Combine like terms: 5x + -5x = 0
-43 + 10x = -23 + 0
-43 + 10x = -23

Add '43' to each side of the equation.
-43 + 43 + 10x = -23 + 43

Combine like terms: -43 + 43 = 0
0 + 10x = -23 + 43
10x = -23 + 43

Combine like terms: -23 + 43 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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