2(x-2)=-5(3-x)-1

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Solution for 2(x-2)=-5(3-x)-1 equation:


Simplifying
2(x + -2) = -5(3 + -1x) + -1

Reorder the terms:
2(-2 + x) = -5(3 + -1x) + -1
(-2 * 2 + x * 2) = -5(3 + -1x) + -1
(-4 + 2x) = -5(3 + -1x) + -1
-4 + 2x = (3 * -5 + -1x * -5) + -1
-4 + 2x = (-15 + 5x) + -1

Reorder the terms:
-4 + 2x = -15 + -1 + 5x

Combine like terms: -15 + -1 = -16
-4 + 2x = -16 + 5x

Solving
-4 + 2x = -16 + 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.
-4 + 2x + -5x = -16 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-4 + -3x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + -3x = -16 + 0
-4 + -3x = -16

Add '4' to each side of the equation.
-4 + 4 + -3x = -16 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = -16 + 4
-3x = -16 + 4

Combine like terms: -16 + 4 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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