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

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


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

Reorder the terms:
5(-8 + 2x) = 5(x + -3) + 3
(-8 * 5 + 2x * 5) = 5(x + -3) + 3
(-40 + 10x) = 5(x + -3) + 3

Reorder the terms:
-40 + 10x = 5(-3 + x) + 3
-40 + 10x = (-3 * 5 + x * 5) + 3
-40 + 10x = (-15 + 5x) + 3

Reorder the terms:
-40 + 10x = -15 + 3 + 5x

Combine like terms: -15 + 3 = -12
-40 + 10x = -12 + 5x

Solving
-40 + 10x = -12 + 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.
-40 + 10x + -5x = -12 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-40 + 5x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-40 + 5x = -12 + 0
-40 + 5x = -12

Add '40' to each side of the equation.
-40 + 40 + 5x = -12 + 40

Combine like terms: -40 + 40 = 0
0 + 5x = -12 + 40
5x = -12 + 40

Combine like terms: -12 + 40 = 28
5x = 28

Divide each side by '5'.
x = 5.6

Simplifying
x = 5.6

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