5(4x-8)-3=5(x-2)+72

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Solution for 5(4x-8)-3=5(x-2)+72 equation:


Simplifying
5(4x + -8) + -3 = 5(x + -2) + 72

Reorder the terms:
5(-8 + 4x) + -3 = 5(x + -2) + 72
(-8 * 5 + 4x * 5) + -3 = 5(x + -2) + 72
(-40 + 20x) + -3 = 5(x + -2) + 72

Reorder the terms:
-40 + -3 + 20x = 5(x + -2) + 72

Combine like terms: -40 + -3 = -43
-43 + 20x = 5(x + -2) + 72

Reorder the terms:
-43 + 20x = 5(-2 + x) + 72
-43 + 20x = (-2 * 5 + x * 5) + 72
-43 + 20x = (-10 + 5x) + 72

Reorder the terms:
-43 + 20x = -10 + 72 + 5x

Combine like terms: -10 + 72 = 62
-43 + 20x = 62 + 5x

Solving
-43 + 20x = 62 + 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 + 20x + -5x = 62 + 5x + -5x

Combine like terms: 20x + -5x = 15x
-43 + 15x = 62 + 5x + -5x

Combine like terms: 5x + -5x = 0
-43 + 15x = 62 + 0
-43 + 15x = 62

Add '43' to each side of the equation.
-43 + 43 + 15x = 62 + 43

Combine like terms: -43 + 43 = 0
0 + 15x = 62 + 43
15x = 62 + 43

Combine like terms: 62 + 43 = 105
15x = 105

Divide each side by '15'.
x = 7

Simplifying
x = 7

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