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

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


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

Reorder the terms:
-3(4 + x) + -5 = 2x + 3
(4 * -3 + x * -3) + -5 = 2x + 3
(-12 + -3x) + -5 = 2x + 3

Reorder the terms:
-12 + -5 + -3x = 2x + 3

Combine like terms: -12 + -5 = -17
-17 + -3x = 2x + 3

Reorder the terms:
-17 + -3x = 3 + 2x

Solving
-17 + -3x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-17 + -3x + -2x = 3 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-17 + -5x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-17 + -5x = 3 + 0
-17 + -5x = 3

Add '17' to each side of the equation.
-17 + 17 + -5x = 3 + 17

Combine like terms: -17 + 17 = 0
0 + -5x = 3 + 17
-5x = 3 + 17

Combine like terms: 3 + 17 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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