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

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


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

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

Reorder the terms:
3 + -2x = -2(-5 + 4x) + 5
3 + -2x = (-5 * -2 + 4x * -2) + 5
3 + -2x = (10 + -8x) + 5

Reorder the terms:
3 + -2x = 10 + 5 + -8x

Combine like terms: 10 + 5 = 15
3 + -2x = 15 + -8x

Solving
3 + -2x = 15 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
3 + -2x + 8x = 15 + -8x + 8x

Combine like terms: -2x + 8x = 6x
3 + 6x = 15 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 6x = 15 + 0
3 + 6x = 15

Add '-3' to each side of the equation.
3 + -3 + 6x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 15 + -3
6x = 15 + -3

Combine like terms: 15 + -3 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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