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

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


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

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

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

Solving
10 + -2x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -2x + -3x = -5 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
10 + -5x = -5 + 0
10 + -5x = -5

Add '-10' to each side of the equation.
10 + -10 + -5x = -5 + -10

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

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

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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