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

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


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

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

Reorder the terms:
-4 + 2x + 3(-5 + x) = 2x + -1
-4 + 2x + (-5 * 3 + x * 3) = 2x + -1
-4 + 2x + (-15 + 3x) = 2x + -1

Reorder the terms:
-4 + -15 + 2x + 3x = 2x + -1

Combine like terms: -4 + -15 = -19
-19 + 2x + 3x = 2x + -1

Combine like terms: 2x + 3x = 5x
-19 + 5x = 2x + -1

Reorder the terms:
-19 + 5x = -1 + 2x

Solving
-19 + 5x = -1 + 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.
-19 + 5x + -2x = -1 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-19 + 3x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-19 + 3x = -1 + 0
-19 + 3x = -1

Add '19' to each side of the equation.
-19 + 19 + 3x = -1 + 19

Combine like terms: -19 + 19 = 0
0 + 3x = -1 + 19
3x = -1 + 19

Combine like terms: -1 + 19 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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