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

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


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

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

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

Combine like terms: -8 + 5 = -3
-3 + 2x = 3(x + 5) + 2

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

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

Combine like terms: 15 + 2 = 17
-3 + 2x = 17 + 3x

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

Combine like terms: 2x + -3x = -1x
-3 + -1x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -1x = 17 + 0
-3 + -1x = 17

Add '3' to each side of the equation.
-3 + 3 + -1x = 17 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 17 + 3
-1x = 17 + 3

Combine like terms: 17 + 3 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20

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