5(2x-8)-3=5(x-3)-13

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Solution for 5(2x-8)-3=5(x-3)-13 equation:


Simplifying
5(2x + -8) + -3 = 5(x + -3) + -13

Reorder the terms:
5(-8 + 2x) + -3 = 5(x + -3) + -13
(-8 * 5 + 2x * 5) + -3 = 5(x + -3) + -13
(-40 + 10x) + -3 = 5(x + -3) + -13

Reorder the terms:
-40 + -3 + 10x = 5(x + -3) + -13

Combine like terms: -40 + -3 = -43
-43 + 10x = 5(x + -3) + -13

Reorder the terms:
-43 + 10x = 5(-3 + x) + -13
-43 + 10x = (-3 * 5 + x * 5) + -13
-43 + 10x = (-15 + 5x) + -13

Reorder the terms:
-43 + 10x = -15 + -13 + 5x

Combine like terms: -15 + -13 = -28
-43 + 10x = -28 + 5x

Solving
-43 + 10x = -28 + 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 + 10x + -5x = -28 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-43 + 5x = -28 + 5x + -5x

Combine like terms: 5x + -5x = 0
-43 + 5x = -28 + 0
-43 + 5x = -28

Add '43' to each side of the equation.
-43 + 43 + 5x = -28 + 43

Combine like terms: -43 + 43 = 0
0 + 5x = -28 + 43
5x = -28 + 43

Combine like terms: -28 + 43 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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