9(x-3)+4=5-4(x-1)

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Solution for 9(x-3)+4=5-4(x-1) equation:


Simplifying
9(x + -3) + 4 = 5 + -4(x + -1)

Reorder the terms:
9(-3 + x) + 4 = 5 + -4(x + -1)
(-3 * 9 + x * 9) + 4 = 5 + -4(x + -1)
(-27 + 9x) + 4 = 5 + -4(x + -1)

Reorder the terms:
-27 + 4 + 9x = 5 + -4(x + -1)

Combine like terms: -27 + 4 = -23
-23 + 9x = 5 + -4(x + -1)

Reorder the terms:
-23 + 9x = 5 + -4(-1 + x)
-23 + 9x = 5 + (-1 * -4 + x * -4)
-23 + 9x = 5 + (4 + -4x)

Combine like terms: 5 + 4 = 9
-23 + 9x = 9 + -4x

Solving
-23 + 9x = 9 + -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.
-23 + 9x + 4x = 9 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-23 + 13x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
-23 + 13x = 9 + 0
-23 + 13x = 9

Add '23' to each side of the equation.
-23 + 23 + 13x = 9 + 23

Combine like terms: -23 + 23 = 0
0 + 13x = 9 + 23
13x = 9 + 23

Combine like terms: 9 + 23 = 32
13x = 32

Divide each side by '13'.
x = 2.461538462

Simplifying
x = 2.461538462

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