5(x-4)=2x-13

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Solution for 5(x-4)=2x-13 equation: 


Simplifying
5(x + -4) = 2x + -13

Reorder the terms:
5(-4 + x) = 2x + -13
(-4 * 5 + x * 5) = 2x + -13
(-20 + 5x) = 2x + -13

Reorder the terms:
-20 + 5x = -13 + 2x

Solving
-20 + 5x = -13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 5x + -2x = -13 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-20 + 3x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 3x = -13 + 0
-20 + 3x = -13

Add '20' to each side of the equation.
-20 + 20 + 3x = -13 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = -13 + 20
3x = -13 + 20

Combine like terms: -13 + 20 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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