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

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Solution for 2x-1=3(x+4)-5 equation: 


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

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

Reorder the terms:
-1 + 2x = 3(4 + x) + -5
-1 + 2x = (4 * 3 + x * 3) + -5
-1 + 2x = (12 + 3x) + -5

Reorder the terms:
-1 + 2x = 12 + -5 + 3x

Combine like terms: 12 + -5 = 7
-1 + 2x = 7 + 3x

Solving
-1 + 2x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 2x + -3x = 7 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-1 + -1x = 7 + 0
-1 + -1x = 7

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

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

Combine like terms: 7 + 1 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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