5(x-4)+(2x-7)=0

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Solution for 5(x-4)+(2x-7)=0 equation:


Simplifying
5(x + -4) + (2x + -7) = 0

Reorder the terms:
5(-4 + x) + (2x + -7) = 0
(-4 * 5 + x * 5) + (2x + -7) = 0
(-20 + 5x) + (2x + -7) = 0

Reorder the terms:
-20 + 5x + (-7 + 2x) = 0

Remove parenthesis around (-7 + 2x)
-20 + 5x + -7 + 2x = 0

Reorder the terms:
-20 + -7 + 5x + 2x = 0

Combine like terms: -20 + -7 = -27
-27 + 5x + 2x = 0

Combine like terms: 5x + 2x = 7x
-27 + 7x = 0

Solving
-27 + 7x = 0

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 7x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 7x = 0 + 27
7x = 0 + 27

Combine like terms: 0 + 27 = 27
7x = 27

Divide each side by '7'.
x = 3.857142857

Simplifying
x = 3.857142857

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