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

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


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

Reorder the terms:
3(-5 + 2x) + 2 = 2x + -1
(-5 * 3 + 2x * 3) + 2 = 2x + -1
(-15 + 6x) + 2 = 2x + -1

Reorder the terms:
-15 + 2 + 6x = 2x + -1

Combine like terms: -15 + 2 = -13
-13 + 6x = 2x + -1

Reorder the terms:
-13 + 6x = -1 + 2x

Solving
-13 + 6x = -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.
-13 + 6x + -2x = -1 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-13 + 4x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 4x = -1 + 0
-13 + 4x = -1

Add '13' to each side of the equation.
-13 + 13 + 4x = -1 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = -1 + 13
4x = -1 + 13

Combine like terms: -1 + 13 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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