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

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


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

Reorder the terms:
2(-4 + x) + -3(x + 5) = 4
(-4 * 2 + x * 2) + -3(x + 5) = 4
(-8 + 2x) + -3(x + 5) = 4

Reorder the terms:
-8 + 2x + -3(5 + x) = 4
-8 + 2x + (5 * -3 + x * -3) = 4
-8 + 2x + (-15 + -3x) = 4

Reorder the terms:
-8 + -15 + 2x + -3x = 4

Combine like terms: -8 + -15 = -23
-23 + 2x + -3x = 4

Combine like terms: 2x + -3x = -1x
-23 + -1x = 4

Solving
-23 + -1x = 4

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + -1x = 4 + 23

Combine like terms: -23 + 23 = 0
0 + -1x = 4 + 23
-1x = 4 + 23

Combine like terms: 4 + 23 = 27
-1x = 27

Divide each side by '-1'.
x = -27

Simplifying
x = -27

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