3-2(x-5)=x-9-4x

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Solution for 3-2(x-5)=x-9-4x equation:


Simplifying
3 + -2(x + -5) = x + -9 + -4x

Reorder the terms:
3 + -2(-5 + x) = x + -9 + -4x
3 + (-5 * -2 + x * -2) = x + -9 + -4x
3 + (10 + -2x) = x + -9 + -4x

Combine like terms: 3 + 10 = 13
13 + -2x = x + -9 + -4x

Reorder the terms:
13 + -2x = -9 + x + -4x

Combine like terms: x + -4x = -3x
13 + -2x = -9 + -3x

Solving
13 + -2x = -9 + -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.
13 + -2x + 3x = -9 + -3x + 3x

Combine like terms: -2x + 3x = 1x
13 + 1x = -9 + -3x + 3x

Combine like terms: -3x + 3x = 0
13 + 1x = -9 + 0
13 + 1x = -9

Add '-13' to each side of the equation.
13 + -13 + 1x = -9 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = -9 + -13
1x = -9 + -13

Combine like terms: -9 + -13 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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