5(x-3)=13x-5

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


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

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

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

Solving
-15 + 5x = -5 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
-15 + 5x + -13x = -5 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-15 + -8x = -5 + 13x + -13x

Combine like terms: 13x + -13x = 0
-15 + -8x = -5 + 0
-15 + -8x = -5

Add '15' to each side of the equation.
-15 + 15 + -8x = -5 + 15

Combine like terms: -15 + 15 = 0
0 + -8x = -5 + 15
-8x = -5 + 15

Combine like terms: -5 + 15 = 10
-8x = 10

Divide each side by '-8'.
x = -1.25

Simplifying
x = -1.25

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