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

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


Simplifying
2 + -3(9 + x) = -5(4 + -1x)
2 + (9 * -3 + x * -3) = -5(4 + -1x)
2 + (-27 + -3x) = -5(4 + -1x)

Combine like terms: 2 + -27 = -25
-25 + -3x = -5(4 + -1x)
-25 + -3x = (4 * -5 + -1x * -5)
-25 + -3x = (-20 + 5x)

Solving
-25 + -3x = -20 + 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.
-25 + -3x + -5x = -20 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-25 + -8x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-25 + -8x = -20 + 0
-25 + -8x = -20

Add '25' to each side of the equation.
-25 + 25 + -8x = -20 + 25

Combine like terms: -25 + 25 = 0
0 + -8x = -20 + 25
-8x = -20 + 25

Combine like terms: -20 + 25 = 5
-8x = 5

Divide each side by '-8'.
x = -0.625

Simplifying
x = -0.625

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