2x-5(x-4)=-9+2x-1

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Solution for 2x-5(x-4)=-9+2x-1 equation:


Simplifying
2x + -5(x + -4) = -9 + 2x + -1

Reorder the terms:
2x + -5(-4 + x) = -9 + 2x + -1
2x + (-4 * -5 + x * -5) = -9 + 2x + -1
2x + (20 + -5x) = -9 + 2x + -1

Reorder the terms:
20 + 2x + -5x = -9 + 2x + -1

Combine like terms: 2x + -5x = -3x
20 + -3x = -9 + 2x + -1

Reorder the terms:
20 + -3x = -9 + -1 + 2x

Combine like terms: -9 + -1 = -10
20 + -3x = -10 + 2x

Solving
20 + -3x = -10 + 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.
20 + -3x + -2x = -10 + 2x + -2x

Combine like terms: -3x + -2x = -5x
20 + -5x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -5x = -10 + 0
20 + -5x = -10

Add '-20' to each side of the equation.
20 + -20 + -5x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -10 + -20
-5x = -10 + -20

Combine like terms: -10 + -20 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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