5(x-4)-4(x-1)=0

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Solution for 5(x-4)-4(x-1)=0 equation:


Simplifying
5(x + -4) + -4(x + -1) = 0

Reorder the terms:
5(-4 + x) + -4(x + -1) = 0
(-4 * 5 + x * 5) + -4(x + -1) = 0
(-20 + 5x) + -4(x + -1) = 0

Reorder the terms:
-20 + 5x + -4(-1 + x) = 0
-20 + 5x + (-1 * -4 + x * -4) = 0
-20 + 5x + (4 + -4x) = 0

Reorder the terms:
-20 + 4 + 5x + -4x = 0

Combine like terms: -20 + 4 = -16
-16 + 5x + -4x = 0

Combine like terms: 5x + -4x = 1x
-16 + 1x = 0

Solving
-16 + 1x = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = 0 + 16
1x = 0 + 16

Combine like terms: 0 + 16 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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