-2x+3=2(x-4)-9

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Solution for -2x+3=2(x-4)-9 equation:


Simplifying
-2x + 3 = 2(x + -4) + -9

Reorder the terms:
3 + -2x = 2(x + -4) + -9

Reorder the terms:
3 + -2x = 2(-4 + x) + -9
3 + -2x = (-4 * 2 + x * 2) + -9
3 + -2x = (-8 + 2x) + -9

Reorder the terms:
3 + -2x = -8 + -9 + 2x

Combine like terms: -8 + -9 = -17
3 + -2x = -17 + 2x

Solving
3 + -2x = -17 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -2x + -2x = -17 + 2x + -2x

Combine like terms: -2x + -2x = -4x
3 + -4x = -17 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -4x = -17 + 0
3 + -4x = -17

Add '-3' to each side of the equation.
3 + -3 + -4x = -17 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -17 + -3
-4x = -17 + -3

Combine like terms: -17 + -3 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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