4x+(x-5)=4(x-5)

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


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

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

Remove parenthesis around (-5 + x)
4x + -5 + x = 4(x + -5)

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

Combine like terms: 4x + x = 5x
-5 + 5x = 4(x + -5)

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

Solving
-5 + 5x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + 5x + -4x = -20 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-5 + 1x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 1x = -20 + 0
-5 + 1x = -20

Add '5' to each side of the equation.
-5 + 5 + 1x = -20 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -20 + 5
1x = -20 + 5

Combine like terms: -20 + 5 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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