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

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


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

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

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

Combine like terms: -40 + -2 = -42
-42 + 10x = 5(x + -3) + 2

Reorder the terms:
-42 + 10x = 5(-3 + x) + 2
-42 + 10x = (-3 * 5 + x * 5) + 2
-42 + 10x = (-15 + 5x) + 2

Reorder the terms:
-42 + 10x = -15 + 2 + 5x

Combine like terms: -15 + 2 = -13
-42 + 10x = -13 + 5x

Solving
-42 + 10x = -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.
-42 + 10x + -5x = -13 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-42 + 5x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-42 + 5x = -13 + 0
-42 + 5x = -13

Add '42' to each side of the equation.
-42 + 42 + 5x = -13 + 42

Combine like terms: -42 + 42 = 0
0 + 5x = -13 + 42
5x = -13 + 42

Combine like terms: -13 + 42 = 29
5x = 29

Divide each side by '5'.
x = 5.8

Simplifying
x = 5.8

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