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

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


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

Reorder the terms:
2(-3 + x) + -3 = -4(x + -5)
(-3 * 2 + x * 2) + -3 = -4(x + -5)
(-6 + 2x) + -3 = -4(x + -5)

Reorder the terms:
-6 + -3 + 2x = -4(x + -5)

Combine like terms: -6 + -3 = -9
-9 + 2x = -4(x + -5)

Reorder the terms:
-9 + 2x = -4(-5 + x)
-9 + 2x = (-5 * -4 + x * -4)
-9 + 2x = (20 + -4x)

Solving
-9 + 2x = 20 + -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.
-9 + 2x + 4x = 20 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-9 + 6x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + 6x = 20 + 0
-9 + 6x = 20

Add '9' to each side of the equation.
-9 + 9 + 6x = 20 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = 20 + 9
6x = 20 + 9

Combine like terms: 20 + 9 = 29
6x = 29

Divide each side by '6'.
x = 4.833333333

Simplifying
x = 4.833333333

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