19=-3(24-x)+2(x-2)

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Solution for 19=-3(24-x)+2(x-2) equation:


Simplifying
19 = -3(24 + -1x) + 2(x + -2)
19 = (24 * -3 + -1x * -3) + 2(x + -2)
19 = (-72 + 3x) + 2(x + -2)

Reorder the terms:
19 = -72 + 3x + 2(-2 + x)
19 = -72 + 3x + (-2 * 2 + x * 2)
19 = -72 + 3x + (-4 + 2x)

Reorder the terms:
19 = -72 + -4 + 3x + 2x

Combine like terms: -72 + -4 = -76
19 = -76 + 3x + 2x

Combine like terms: 3x + 2x = 5x
19 = -76 + 5x

Solving
19 = -76 + 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.
19 + -5x = -76 + 5x + -5x

Combine like terms: 5x + -5x = 0
19 + -5x = -76 + 0
19 + -5x = -76

Add '-19' to each side of the equation.
19 + -19 + -5x = -76 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = -76 + -19
-5x = -76 + -19

Combine like terms: -76 + -19 = -95
-5x = -95

Divide each side by '-5'.
x = 19

Simplifying
x = 19

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