4(x-5)=20-7x

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Solution for 4(x-5)=20-7x equation:


Simplifying
4(x + -5) = 20 + -7x

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

Solving
-20 + 4x = 20 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-20 + 4x + 7x = 20 + -7x + 7x

Combine like terms: 4x + 7x = 11x
-20 + 11x = 20 + -7x + 7x

Combine like terms: -7x + 7x = 0
-20 + 11x = 20 + 0
-20 + 11x = 20

Add '20' to each side of the equation.
-20 + 20 + 11x = 20 + 20

Combine like terms: -20 + 20 = 0
0 + 11x = 20 + 20
11x = 20 + 20

Combine like terms: 20 + 20 = 40
11x = 40

Divide each side by '11'.
x = 3.636363636

Simplifying
x = 3.636363636

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