5x+3(x-13)=5(x-6)

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Solution for 5x+3(x-13)=5(x-6) equation:


Simplifying
5x + 3(x + -13) = 5(x + -6)

Reorder the terms:
5x + 3(-13 + x) = 5(x + -6)
5x + (-13 * 3 + x * 3) = 5(x + -6)
5x + (-39 + 3x) = 5(x + -6)

Reorder the terms:
-39 + 5x + 3x = 5(x + -6)

Combine like terms: 5x + 3x = 8x
-39 + 8x = 5(x + -6)

Reorder the terms:
-39 + 8x = 5(-6 + x)
-39 + 8x = (-6 * 5 + x * 5)
-39 + 8x = (-30 + 5x)

Solving
-39 + 8x = -30 + 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.
-39 + 8x + -5x = -30 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-39 + 3x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-39 + 3x = -30 + 0
-39 + 3x = -30

Add '39' to each side of the equation.
-39 + 39 + 3x = -30 + 39

Combine like terms: -39 + 39 = 0
0 + 3x = -30 + 39
3x = -30 + 39

Combine like terms: -30 + 39 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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