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

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


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

Reorder the terms:
5 + 4(-4 + x) = 5 + -5(x + -1)
5 + (-4 * 4 + x * 4) = 5 + -5(x + -1)
5 + (-16 + 4x) = 5 + -5(x + -1)

Combine like terms: 5 + -16 = -11
-11 + 4x = 5 + -5(x + -1)

Reorder the terms:
-11 + 4x = 5 + -5(-1 + x)
-11 + 4x = 5 + (-1 * -5 + x * -5)
-11 + 4x = 5 + (5 + -5x)

Combine like terms: 5 + 5 = 10
-11 + 4x = 10 + -5x

Solving
-11 + 4x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-11 + 4x + 5x = 10 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-11 + 9x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-11 + 9x = 10 + 0
-11 + 9x = 10

Add '11' to each side of the equation.
-11 + 11 + 9x = 10 + 11

Combine like terms: -11 + 11 = 0
0 + 9x = 10 + 11
9x = 10 + 11

Combine like terms: 10 + 11 = 21
9x = 21

Divide each side by '9'.
x = 2.333333333

Simplifying
x = 2.333333333

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