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

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


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

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

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

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

Reorder the terms:
-11 + 2x = 4 + -5(-2 + x)
-11 + 2x = 4 + (-2 * -5 + x * -5)
-11 + 2x = 4 + (10 + -5x)

Combine like terms: 4 + 10 = 14
-11 + 2x = 14 + -5x

Solving
-11 + 2x = 14 + -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 + 2x + 5x = 14 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-11 + 7x = 14 + -5x + 5x

Combine like terms: -5x + 5x = 0
-11 + 7x = 14 + 0
-11 + 7x = 14

Add '11' to each side of the equation.
-11 + 11 + 7x = 14 + 11

Combine like terms: -11 + 11 = 0
0 + 7x = 14 + 11
7x = 14 + 11

Combine like terms: 14 + 11 = 25
7x = 25

Divide each side by '7'.
x = 3.571428571

Simplifying
x = 3.571428571

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