-3(x+5)-2(-x-4)=17.5

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Solution for -3(x+5)-2(-x-4)=17.5 equation: 


Simplifying
-3(x + 5) + -2(-1x + -4) = 17.5

Reorder the terms:
-3(5 + x) + -2(-1x + -4) = 17.5
(5 * -3 + x * -3) + -2(-1x + -4) = 17.5
(-15 + -3x) + -2(-1x + -4) = 17.5

Reorder the terms:
-15 + -3x + -2(-4 + -1x) = 17.5
-15 + -3x + (-4 * -2 + -1x * -2) = 17.5
-15 + -3x + (8 + 2x) = 17.5

Reorder the terms:
-15 + 8 + -3x + 2x = 17.5

Combine like terms: -15 + 8 = -7
-7 + -3x + 2x = 17.5

Combine like terms: -3x + 2x = -1x
-7 + -1x = 17.5

Solving
-7 + -1x = 17.5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1x = 17.5 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 17.5 + 7
-1x = 17.5 + 7

Combine like terms: 17.5 + 7 = 24.5
-1x = 24.5

Divide each side by '-1'.
x = -24.5

Simplifying
x = -24.5

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