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

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


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

Reorder the terms:
2(-5 + x) + -3x = 5(x + -3)
(-5 * 2 + x * 2) + -3x = 5(x + -3)
(-10 + 2x) + -3x = 5(x + -3)

Combine like terms: 2x + -3x = -1x
-10 + -1x = 5(x + -3)

Reorder the terms:
-10 + -1x = 5(-3 + x)
-10 + -1x = (-3 * 5 + x * 5)
-10 + -1x = (-15 + 5x)

Solving
-10 + -1x = -15 + 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.
-10 + -1x + -5x = -15 + 5x + -5x

Combine like terms: -1x + -5x = -6x
-10 + -6x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -6x = -15 + 0
-10 + -6x = -15

Add '10' to each side of the equation.
-10 + 10 + -6x = -15 + 10

Combine like terms: -10 + 10 = 0
0 + -6x = -15 + 10
-6x = -15 + 10

Combine like terms: -15 + 10 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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