5(x-4)+4=4(x-9)

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Solution for 5(x-4)+4=4(x-9) equation:


Simplifying
5(x + -4) + 4 = 4(x + -9)

Reorder the terms:
5(-4 + x) + 4 = 4(x + -9)
(-4 * 5 + x * 5) + 4 = 4(x + -9)
(-20 + 5x) + 4 = 4(x + -9)

Reorder the terms:
-20 + 4 + 5x = 4(x + -9)

Combine like terms: -20 + 4 = -16
-16 + 5x = 4(x + -9)

Reorder the terms:
-16 + 5x = 4(-9 + x)
-16 + 5x = (-9 * 4 + x * 4)
-16 + 5x = (-36 + 4x)

Solving
-16 + 5x = -36 + 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.
-16 + 5x + -4x = -36 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-16 + 1x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 1x = -36 + 0
-16 + 1x = -36

Add '16' to each side of the equation.
-16 + 16 + 1x = -36 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = -36 + 16
1x = -36 + 16

Combine like terms: -36 + 16 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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