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

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


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

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

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

Combine like terms: -6 + -5 = -11
-11 + 2x = 4(x + -5)

Reorder the terms:
-11 + 2x = 4(-5 + x)
-11 + 2x = (-5 * 4 + x * 4)
-11 + 2x = (-20 + 4x)

Solving
-11 + 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.
-11 + 2x + -4x = -20 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-11 + -2x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-11 + -2x = -20 + 0
-11 + -2x = -20

Add '11' to each side of the equation.
-11 + 11 + -2x = -20 + 11

Combine like terms: -11 + 11 = 0
0 + -2x = -20 + 11
-2x = -20 + 11

Combine like terms: -20 + 11 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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