How do you check 2x+5-3(2x-7)=2(3x-5)-4

Mplifying
2x + 5 + -3(2x + -7) = 2(3x + -5) + -4

Reorder the terms:
2x + 5 + -3(-7 + 2x) = 2(3x + -5) + -4
2x + 5 + (-7 * -3 + 2x * -3) = 2(3x + -5) + -4
2x + 5 + (21 + -6x) = 2(3x + -5) + -4

Reorder the terms:
5 + 21 + 2x + -6x = 2(3x + -5) + -4

Combine like terms: 5 + 21 = 26
26 + 2x + -6x = 2(3x + -5) + -4

Combine like terms: 2x + -6x = -4x
26 + -4x = 2(3x + -5) + -4

Reorder the terms:
26 + -4x = 2(-5 + 3x) + -4
26 + -4x = (-5 * 2 + 3x * 2) + -4
26 + -4x = (-10 + 6x) + -4

Reorder the terms:
26 + -4x = -10 + -4 + 6x

Combine like terms: -10 + -4 = -14
26 + -4x = -14 + 6x

Solving
26 + -4x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
26 + -4x + -6x = -14 + 6x + -6x

Combine like terms: -4x + -6x = -10x
26 + -10x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
26 + -10x = -14 + 0
26 + -10x = -14

Add '-26' to each side of the equation.
26 + -26 + -10x = -14 + -26

Combine like terms: 26 + -26 = 0
0 + -10x = -14 + -26
-10x = -14 + -26

Combine like terms: -14 + -26 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

Best answer that i found on yahoo ok   set :   x= length of 2nd piece in cm  x- 3= length of 1st piece in cm  x-4= length of 3rd piece in cm  then since you know they all came from the 20 cm ribbon you add them together and set them equal to 20x+ x-3 +x-4 = 20  3x - 7= 20  3x= 27  x= 9  the shortest piece is the third piece which is x- 4  x-4  9-4 = 5  the length of the smallest piece is 5 cm.  the other lengths are  9 cm  6 cm

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