4(x-2)-3(5-3x)=(x-4)

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Solution for 4(x-2)-3(5-3x)=(x-4) equation:


Simplifying
4(x + -2) + -3(5 + -3x) = (x + -4)

Reorder the terms:
4(-2 + x) + -3(5 + -3x) = (x + -4)
(-2 * 4 + x * 4) + -3(5 + -3x) = (x + -4)
(-8 + 4x) + -3(5 + -3x) = (x + -4)
-8 + 4x + (5 * -3 + -3x * -3) = (x + -4)
-8 + 4x + (-15 + 9x) = (x + -4)

Reorder the terms:
-8 + -15 + 4x + 9x = (x + -4)

Combine like terms: -8 + -15 = -23
-23 + 4x + 9x = (x + -4)

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

Reorder the terms:
-23 + 13x = (-4 + x)

Remove parenthesis around (-4 + x)
-23 + 13x = -4 + x

Solving
-23 + 13x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-23 + 13x + -1x = -4 + x + -1x

Combine like terms: 13x + -1x = 12x
-23 + 12x = -4 + x + -1x

Combine like terms: x + -1x = 0
-23 + 12x = -4 + 0
-23 + 12x = -4

Add '23' to each side of the equation.
-23 + 23 + 12x = -4 + 23

Combine like terms: -23 + 23 = 0
0 + 12x = -4 + 23
12x = -4 + 23

Combine like terms: -4 + 23 = 19
12x = 19

Divide each side by '12'.
x = 1.583333333

Simplifying
x = 1.583333333

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